%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 16 22:28:22 EDT 2022

% Result   : Unsatisfiable 1.34s 1.13s
% Output   : Proof 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   99
%            Number of leaves      :   90
% Syntax   : Number of formulae    :  589 ( 504 unt;   5 typ;   0 def)
%            Number of atoms       :  672 ( 667 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  159 (  75   ~;  71   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   21 (   3 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  225 ( 218   !;   0   ?; 225   :)

% Comments : 
%------------------------------------------------------------------------------
tff(a2_type,type,
    a2: $i ).

tff(multiply_type,type,
    multiply: ( $i * $i ) > $i ).

tff(identity_type,type,
    identity: $i ).

tff(double_divide_type,type,
    double_divide: ( $i * $i ) > $i ).

tff(inverse_type,type,
    inverse: $i > $i ).

tff(1,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(
        ( ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
      <=> ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ) )),
    inference(bind,[status(th)],]) ).

tff(2,plain,
    ( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
  <=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ) ),
    inference(rewrite,[status(thm)],]) ).

tff(4,axiom,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

tff(5,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
    inference(modus_ponens,[status(thm)],[4,3]) ).

tff(6,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
    inference(skolemize,[status(sab)],[5]) ).

tff(7,plain,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
    inference(modus_ponens,[status(thm)],[6,2]) ).

tff(8,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = a2 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = a2,
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    ^ [A: $i] :
      refl(
        ( ( identity = double_divide(A,inverse(A)) )
      <=> ( identity = double_divide(A,inverse(A)) ) )),
    inference(bind,[status(th)],]) ).

tff(11,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(13,axiom,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

tff(14,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[13,12]) ).

tff(15,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(skolemize,[status(sab)],[14]) ).

tff(16,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[15,11]) ).

tff(17,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(18,plain,
    identity = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(unit_resolution,[status(thm)],[17,16]) ).

tff(19,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = identity,
    inference(symmetry,[status(thm)],[18]) ).

tff(20,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(21,plain,
    identity = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(unit_resolution,[status(thm)],[20,16]) ).

tff(22,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(monotonicity,[status(thm)],[21]) ).

tff(23,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(identity,identity),
    inference(symmetry,[status(thm)],[22]) ).

tff(24,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(25,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[24,7]) ).

tff(26,plain,
    ^ [A: $i] :
      refl(
        ( ( inverse(A) = double_divide(A,identity) )
      <=> ( inverse(A) = double_divide(A,identity) ) )),
    inference(bind,[status(th)],]) ).

tff(27,plain,
    ( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
  <=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
    inference(quant_intro,[status(thm)],[26]) ).

tff(28,plain,
    ( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
  <=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(29,axiom,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

tff(30,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[29,28]) ).

tff(31,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(skolemize,[status(sab)],[30]) ).

tff(32,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[31,27]) ).

tff(33,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(34,plain,
    inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity),
    inference(unit_resolution,[status(thm)],[33,32]) ).

tff(35,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity) = inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[34]) ).

tff(36,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(37,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[36,7]) ).

tff(38,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(39,plain,
    inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[38,32]) ).

tff(40,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),
    inference(symmetry,[status(thm)],[39]) ).

tff(41,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(42,plain,
    identity = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(unit_resolution,[status(thm)],[41,16]) ).

tff(43,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))) = identity,
    inference(symmetry,[status(thm)],[42]) ).

tff(44,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[40]) ).

tff(45,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[44,43,21]) ).

tff(46,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[45,40]) ).

tff(47,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[46,43,21]) ).

tff(48,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[47,40]) ).

tff(49,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[48]) ).

tff(50,plain,
    double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))) = identity,
    inference(symmetry,[status(thm)],[21]) ).

tff(51,plain,
    double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(transitivity,[status(thm)],[50,42,49]) ).

tff(52,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[51]) ).

tff(53,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[52,23]) ).

tff(54,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[53,37]) ).

tff(55,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[54,35]) ).

tff(56,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = identity,
    inference(transitivity,[status(thm)],[55,19]) ).

tff(57,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(monotonicity,[status(thm)],[56]) ).

tff(58,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(symmetry,[status(thm)],[57]) ).

tff(59,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(monotonicity,[status(thm)],[50]) ).

tff(60,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[59,35]) ).

tff(61,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[60,19,21]) ).

tff(62,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[61,40]) ).

tff(63,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = identity,
    inference(transitivity,[status(thm)],[62,43]) ).

tff(64,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(monotonicity,[status(thm)],[63]) ).

tff(65,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(transitivity,[status(thm)],[64,58]) ).

tff(66,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[65]) ).

tff(67,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(68,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity),
    inference(unit_resolution,[status(thm)],[67,7]) ).

tff(69,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[68]) ).

tff(70,plain,
    inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[34,69,66,25,23]) ).

tff(71,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(symmetry,[status(thm)],[64]) ).

tff(72,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[71,70]) ).

tff(73,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),inverse(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(symmetry,[status(thm)],[72]) ).

tff(74,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[66]) ).

tff(75,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[25]) ).

tff(76,plain,
    double_divide(identity,identity) = identity,
    inference(transitivity,[status(thm)],[22,75,74,73,19]) ).

tff(77,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),double_divide(identity,identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(78,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),double_divide(identity,identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(unit_resolution,[status(thm)],[77,7]) ).

tff(79,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),identity),
    inference(monotonicity,[status(thm)],[76]) ).

tff(80,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[79]) ).

tff(81,plain,
    ^ [B: $i,A: $i] :
      refl(
        ( ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
      <=> ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) )),
    inference(bind,[status(th)],]) ).

tff(82,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) ),
    inference(quant_intro,[status(thm)],[81]) ).

tff(83,plain,
    ( ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
  <=> ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(84,axiom,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

tff(85,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(modus_ponens,[status(thm)],[84,83]) ).

tff(86,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(skolemize,[status(sab)],[85]) ).

tff(87,plain,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    inference(modus_ponens,[status(thm)],[86,82]) ).

tff(88,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(89,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),identity),
    inference(unit_resolution,[status(thm)],[88,87]) ).

tff(90,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(91,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[90,7]) ).

tff(92,plain,
    identity = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[18,72,66,25,23]) ).

tff(93,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(94,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[93,91,23]) ).

tff(95,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(a2,identity),identity),inverse(double_divide(double_divide(a2,identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(96,plain,
    identity = double_divide(double_divide(double_divide(a2,identity),identity),inverse(double_divide(double_divide(a2,identity),identity))),
    inference(unit_resolution,[status(thm)],[95,16]) ).

tff(97,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),inverse(double_divide(double_divide(a2,identity),identity))) = identity,
    inference(symmetry,[status(thm)],[96]) ).

tff(98,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(99,plain,
    inverse(double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),identity),
    inference(unit_resolution,[status(thm)],[98,32]) ).

tff(100,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),identity) = inverse(double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[99]) ).

tff(101,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[69,66,25,23]) ).

tff(102,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = identity,
    inference(transitivity,[status(thm)],[75,74,73,19]) ).

tff(103,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(monotonicity,[status(thm)],[102]) ).

tff(104,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[103]) ).

tff(105,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(106,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),identity),
    inference(unit_resolution,[status(thm)],[105,7]) ).

tff(107,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(108,plain,
    identity = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))))),
    inference(unit_resolution,[status(thm)],[107,16]) ).

tff(109,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))))) = identity,
    inference(symmetry,[status(thm)],[108]) ).

tff(110,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(111,plain,
    inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[110,32]) ).

tff(112,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) = inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),
    inference(symmetry,[status(thm)],[111]) ).

tff(113,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(114,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity),
    inference(symmetry,[status(thm)],[113]) ).

tff(115,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(116,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),identity),
    inference(unit_resolution,[status(thm)],[115,7]) ).

tff(117,plain,
    double_divide(double_divide(a2,identity),identity) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[116]) ).

tff(118,plain,
    double_divide(double_divide(a2,identity),identity) = inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),
    inference(transitivity,[status(thm)],[117,114,112]) ).

tff(119,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(a2,inverse(a2)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(120,plain,
    identity = double_divide(a2,inverse(a2)),
    inference(unit_resolution,[status(thm)],[119,16]) ).

tff(121,plain,
    double_divide(a2,inverse(a2)) = identity,
    inference(symmetry,[status(thm)],[120]) ).

tff(122,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(a2) = double_divide(a2,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(123,plain,
    inverse(a2) = double_divide(a2,identity),
    inference(unit_resolution,[status(thm)],[122,32]) ).

tff(124,plain,
    double_divide(a2,identity) = inverse(a2),
    inference(symmetry,[status(thm)],[123]) ).

tff(125,plain,
    double_divide(a2,double_divide(a2,identity)) = double_divide(a2,inverse(a2)),
    inference(monotonicity,[status(thm)],[124]) ).

tff(126,plain,
    double_divide(a2,double_divide(a2,identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[125,121,21]) ).

tff(127,plain,
    double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[126]) ).

tff(128,plain,
    double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[127]) ).

tff(129,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(symmetry,[status(thm)],[128]) ).

tff(130,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(monotonicity,[status(thm)],[129]) ).

tff(131,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[130,118]) ).

tff(132,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[131,109,21]) ).

tff(133,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[132]) ).

tff(134,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[133]) ).

tff(135,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[134]) ).

tff(136,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[135,92]) ).

tff(137,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),identity),
    inference(monotonicity,[status(thm)],[102]) ).

tff(138,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,identity),identity),
    inference(transitivity,[status(thm)],[137,136,106]) ).

tff(139,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[138,104]) ).

tff(140,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(symmetry,[status(thm)],[139]) ).

tff(141,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[75,74,73,19,21]) ).

tff(142,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[141]) ).

tff(143,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(monotonicity,[status(thm)],[142,140]) ).

tff(144,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[143,101]) ).

tff(145,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(symmetry,[status(thm)],[144]) ).

tff(146,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[91]) ).

tff(147,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(transitivity,[status(thm)],[18,72,66,25,146,145]) ).

tff(148,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),identity) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[147]) ).

tff(149,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),identity),
    inference(symmetry,[status(thm)],[148]) ).

tff(150,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = inverse(double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[149,100]) ).

tff(151,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,identity),identity),
    inference(monotonicity,[status(thm)],[102]) ).

tff(152,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(a2,identity),identity),inverse(double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[151,150]) ).

tff(153,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[152,97,21]) ).

tff(154,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[153]) ).

tff(155,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[154]) ).

tff(156,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(157,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[156,91]) ).

tff(158,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[157,155]) ).

tff(159,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[158,94]) ).

tff(160,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(symmetry,[status(thm)],[159]) ).

tff(161,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(162,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[161,7]) ).

tff(163,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[162]) ).

tff(164,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = identity,
    inference(transitivity,[status(thm)],[144,91,75,74,73,19]) ).

tff(165,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(166,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[165]) ).

tff(167,plain,
    double_divide(double_divide(a2,identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[106]) ).

tff(168,plain,
    double_divide(double_divide(a2,identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(transitivity,[status(thm)],[167,166]) ).

tff(169,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity),
    inference(monotonicity,[status(thm)],[168,164]) ).

tff(170,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(symmetry,[status(thm)],[169]) ).

tff(171,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(172,plain,
    multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity),
    inference(unit_resolution,[status(thm)],[171,87]) ).

tff(173,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(174,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(unit_resolution,[status(thm)],[173,7]) ).

tff(175,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(176,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[175,174,134]) ).

tff(177,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(178,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[177,174]) ).

tff(179,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[178]) ).

tff(180,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[179,176]) ).

tff(181,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[180]) ).

tff(182,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[157,181]) ).

tff(183,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[182,94]) ).

tff(184,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(symmetry,[status(thm)],[183]) ).

tff(185,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(186,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity),
    inference(unit_resolution,[status(thm)],[185,7]) ).

tff(187,plain,
    double_divide(a2,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[186]) ).

tff(188,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(189,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity),
    inference(unit_resolution,[status(thm)],[188,7]) ).

tff(190,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(191,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(unit_resolution,[status(thm)],[190,7]) ).

tff(192,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(193,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))))),
    inference(unit_resolution,[status(thm)],[192,16]) ).

tff(194,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))))) = identity,
    inference(symmetry,[status(thm)],[193]) ).

tff(195,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(196,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity),
    inference(unit_resolution,[status(thm)],[195,32]) ).

tff(197,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)))),
    inference(symmetry,[status(thm)],[196]) ).

tff(198,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(199,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity),
    inference(symmetry,[status(thm)],[198]) ).

tff(200,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),identity) = inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)))),
    inference(transitivity,[status(thm)],[148,163,199,197]) ).

tff(201,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(a2,identity),identity),inverse(double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[150]) ).

tff(202,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[201,97,18,72,66,25]) ).

tff(203,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[202,155]) ).

tff(204,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))))),
    inference(monotonicity,[status(thm)],[203,200]) ).

tff(205,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[204,194,18,72,66,25,23]) ).

tff(206,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[205]) ).

tff(207,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[206,191]) ).

tff(208,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[207]) ).

tff(209,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(210,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(unit_resolution,[status(thm)],[209,7]) ).

tff(211,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[210]) ).

tff(212,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[154,211,208,189,187,184]) ).

tff(213,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[212]) ).

tff(214,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),
    inference(symmetry,[status(thm)],[213]) ).

tff(215,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[214]) ).

tff(216,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(217,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),
    inference(unit_resolution,[status(thm)],[216,7]) ).

tff(218,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[217]) ).

tff(219,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(transitivity,[status(thm)],[218,215,162]) ).

tff(220,plain,
    multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))) = multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),
    inference(monotonicity,[status(thm)],[219]) ).

tff(221,plain,
    multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),
    inference(symmetry,[status(thm)],[220]) ).

tff(222,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(223,plain,
    multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity),
    inference(unit_resolution,[status(thm)],[222,87]) ).

tff(224,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) = multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),
    inference(symmetry,[status(thm)],[223]) ).

tff(225,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(226,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[225,191]) ).

tff(227,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[226,92]) ).

tff(228,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity),
    inference(symmetry,[status(thm)],[227]) ).

tff(229,plain,
    double_divide(a2,identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[189]) ).

tff(230,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[183,186,229,228,224,221,172,170,163,160]) ).

tff(231,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[230]) ).

tff(232,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[219]) ).

tff(233,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(234,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[233,7]) ).

tff(235,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[148,163,160]) ).

tff(236,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(237,plain,
    identity = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),
    inference(unit_resolution,[status(thm)],[236,16]) ).

tff(238,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))) = identity,
    inference(symmetry,[status(thm)],[237]) ).

tff(239,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(240,plain,
    inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity),
    inference(unit_resolution,[status(thm)],[239,32]) ).

tff(241,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity) = inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),
    inference(symmetry,[status(thm)],[240]) ).

tff(242,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(243,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity),
    inference(symmetry,[status(thm)],[242]) ).

tff(244,plain,
    double_divide(a2,identity) = inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),
    inference(transitivity,[status(thm)],[229,243,241]) ).

tff(245,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[104]) ).

tff(246,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),
    inference(monotonicity,[status(thm)],[245,244]) ).

tff(247,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[246,238,18,72,66,25]) ).

tff(248,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[247,235]) ).

tff(249,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)),
    inference(symmetry,[status(thm)],[248]) ).

tff(250,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(251,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(unit_resolution,[status(thm)],[250,7]) ).

tff(252,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(253,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[252,7]) ).

tff(254,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(255,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),
    inference(unit_resolution,[status(thm)],[254,7]) ).

tff(256,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(a2,identity)) = double_divide(double_divide(a2,identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(257,plain,
    inverse(double_divide(a2,identity)) = double_divide(double_divide(a2,identity),identity),
    inference(unit_resolution,[status(thm)],[256,32]) ).

tff(258,plain,
    double_divide(double_divide(a2,identity),identity) = inverse(double_divide(a2,identity)),
    inference(symmetry,[status(thm)],[257]) ).

tff(259,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(monotonicity,[status(thm)],[258]) ).

tff(260,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[259]) ).

tff(261,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))) = double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),
    inference(transitivity,[status(thm)],[260,43,21]) ).

tff(262,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[261]) ).

tff(263,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[262]) ).

tff(264,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[263]) ).

tff(265,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(a2,identity),identity)),inverse(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[264,23]) ).

tff(266,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[265,255,39]) ).

tff(267,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[266,235]) ).

tff(268,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)),
    inference(symmetry,[status(thm)],[267]) ).

tff(269,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),
    inference(monotonicity,[status(thm)],[142,268]) ).

tff(270,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[269,101]) ).

tff(271,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(transitivity,[status(thm)],[270,253,146,145]) ).

tff(272,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[271]) ).

tff(273,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[272]) ).

tff(274,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[273]) ).

tff(275,plain,
    double_divide(double_divide(a2,identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)),
    inference(transitivity,[status(thm)],[167,232,274,251,249]) ).

tff(276,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[208]) ).

tff(277,plain,
    double_divide(a2,identity) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[229,276,210]) ).

tff(278,plain,
    double_divide(double_divide(a2,identity),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[277]) ).

tff(279,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(monotonicity,[status(thm)],[278]) ).

tff(280,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(transitivity,[status(thm)],[279,103]) ).

tff(281,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),
    inference(monotonicity,[status(thm)],[280,275]) ).

tff(282,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[281]) ).

tff(283,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[232]) ).

tff(284,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[191]) ).

tff(285,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(286,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(unit_resolution,[status(thm)],[285,7]) ).

tff(287,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[198,160]) ).

tff(288,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(289,plain,
    identity = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))))),
    inference(unit_resolution,[status(thm)],[288,16]) ).

tff(290,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))))) = identity,
    inference(symmetry,[status(thm)],[289]) ).

tff(291,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(292,plain,
    inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity),
    inference(unit_resolution,[status(thm)],[291,32]) ).

tff(293,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) = inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),
    inference(symmetry,[status(thm)],[292]) ).

tff(294,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(295,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity),
    inference(symmetry,[status(thm)],[294]) ).

tff(296,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),
    inference(transitivity,[status(thm)],[284,295,293]) ).

tff(297,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(298,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(transitivity,[status(thm)],[297,162]) ).

tff(299,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))))),
    inference(monotonicity,[status(thm)],[298,296]) ).

tff(300,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[299,290,18,72,66,25]) ).

tff(301,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[300,287]) ).

tff(302,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity)),
    inference(symmetry,[status(thm)],[301]) ).

tff(303,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[157,302]) ).

tff(304,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[303,94]) ).

tff(305,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(a2,identity),identity),
    inference(transitivity,[status(thm)],[304,286,284,283,106]) ).

tff(306,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(monotonicity,[status(thm)],[141,305]) ).

tff(307,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(symmetry,[status(thm)],[304]) ).

tff(308,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[286]) ).

tff(309,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[308,307]) ).

tff(310,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[309]) ).

tff(311,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[310,306,211,208,189]) ).

tff(312,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[311,282]) ).

tff(313,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[312,101]) ).

tff(314,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[313,234,23]) ).

tff(315,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[314]) ).

tff(316,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[315,189]) ).

tff(317,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),identity),
    inference(monotonicity,[status(thm)],[316,76]) ).

tff(318,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(319,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),
    inference(unit_resolution,[status(thm)],[318,7]) ).

tff(320,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[319]) ).

tff(321,plain,
    double_divide(a2,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[187,184]) ).

tff(322,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(323,plain,
    identity = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),
    inference(unit_resolution,[status(thm)],[322,16]) ).

tff(324,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) = identity,
    inference(symmetry,[status(thm)],[323]) ).

tff(325,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[324,18,72,66,25]) ).

tff(326,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[325,321]) ).

tff(327,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity)),
    inference(transitivity,[status(thm)],[326,231,249]) ).

tff(328,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),identity),identity))),
    inference(monotonicity,[status(thm)],[327]) ).

tff(329,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[328,320,317,167,232,191]) ).

tff(330,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[329]) ).

tff(331,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))),double_divide(identity,identity)) = inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(332,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))),double_divide(identity,identity)) = inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(unit_resolution,[status(thm)],[331,7]) ).

tff(333,plain,
    inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[332]) ).

tff(334,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(335,plain,
    inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity),
    inference(unit_resolution,[status(thm)],[334,32]) ).

tff(336,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity) = inverse(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(symmetry,[status(thm)],[335]) ).

tff(337,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[336,333,330,189,187,184]) ).

tff(338,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(339,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[338,7]) ).

tff(340,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(341,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(unit_resolution,[status(thm)],[340,7]) ).

tff(342,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(343,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(transitivity,[status(thm)],[342,341]) ).

tff(344,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity),
    inference(monotonicity,[status(thm)],[102]) ).

tff(345,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[344]) ).

tff(346,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(347,plain,
    double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(transitivity,[status(thm)],[346,341]) ).

tff(348,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity),
    inference(monotonicity,[status(thm)],[347,102]) ).

tff(349,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(transitivity,[status(thm)],[348,345]) ).

tff(350,plain,
    double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)) = double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(monotonicity,[status(thm)],[349,343]) ).

tff(351,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(symmetry,[status(thm)],[350]) ).

tff(352,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[71,23]) ).

tff(353,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[352,66,25]) ).

tff(354,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[353,351]) ).

tff(355,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[354,101]) ).

tff(356,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[355,339,23]) ).

tff(357,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[71,356]) ).

tff(358,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[357,66,25,71]) ).

tff(359,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[358]) ).

tff(360,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(361,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(unit_resolution,[status(thm)],[360,7]) ).

tff(362,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[361]) ).

tff(363,plain,
    double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[362,359,66,25]) ).

tff(364,plain,
    double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[363,337]) ).

tff(365,plain,
    double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(transitivity,[status(thm)],[364,231]) ).

tff(366,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(monotonicity,[status(thm)],[365]) ).

tff(367,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = multiply(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[366]) ).

tff(368,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(369,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),identity),
    inference(unit_resolution,[status(thm)],[368,87]) ).

tff(370,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[369]) ).

tff(371,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[302]) ).

tff(372,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[371,92]) ).

tff(373,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),identity),
    inference(symmetry,[status(thm)],[372]) ).

tff(374,plain,
    double_divide(double_divide(a2,identity),identity) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(transitivity,[status(thm)],[167,232,191,308,373,370,367,89,80,78]) ).

tff(375,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),
    inference(monotonicity,[status(thm)],[278]) ).

tff(376,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(monotonicity,[status(thm)],[375,374]) ).

tff(377,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity)),
    inference(symmetry,[status(thm)],[376]) ).

tff(378,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[377]) ).

tff(379,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),
    inference(symmetry,[status(thm)],[378]) ).

tff(380,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),identity),
    inference(monotonicity,[status(thm)],[379,76]) ).

tff(381,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),identity) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[380]) ).

tff(382,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(383,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),identity),
    inference(unit_resolution,[status(thm)],[382,87]) ).

tff(384,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(385,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(unit_resolution,[status(thm)],[384,7]) ).

tff(386,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = double_divide(double_divide(a2,identity),identity),
    inference(transitivity,[status(thm)],[284,283,106]) ).

tff(387,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[386,104]) ).

tff(388,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(a2,identity),identity),
    inference(transitivity,[status(thm)],[387,284,283,106]) ).

tff(389,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[388,104]) ).

tff(390,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),
    inference(monotonicity,[status(thm)],[389,241]) ).

tff(391,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[390,238,18,72,66,25,23]) ).

tff(392,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(393,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[392,7]) ).

tff(394,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(395,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity),
    inference(unit_resolution,[status(thm)],[394,7]) ).

tff(396,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(monotonicity,[status(thm)],[311,129]) ).

tff(397,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[396,101]) ).

tff(398,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(symmetry,[status(thm)],[397]) ).

tff(399,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(transitivity,[status(thm)],[113,398]) ).

tff(400,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[251]) ).

tff(401,plain,
    double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))) = inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),
    inference(transitivity,[status(thm)],[284,283,106,117,114,112]) ).

tff(402,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),inverse(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))))),
    inference(monotonicity,[status(thm)],[401]) ).

tff(403,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[402,109,18,72,66,25]) ).

tff(404,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[403,321]) ).

tff(405,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[404,231,400,273,191]) ).

tff(406,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[405,399]) ).

tff(407,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[406]) ).

tff(408,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[321]) ).

tff(409,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[408,231,400,273,191]) ).

tff(410,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[409,407]) ).

tff(411,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[410,101]) ).

tff(412,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[411,395]) ).

tff(413,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[277,412]) ).

tff(414,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(monotonicity,[status(thm)],[413,22]) ).

tff(415,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[414]) ).

tff(416,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(transitivity,[status(thm)],[104,415,393]) ).

tff(417,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[416,391]) ).

tff(418,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),inverse(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[390]) ).

tff(419,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[22,75,74,73,19,237,418]) ).

tff(420,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(421,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(unit_resolution,[status(thm)],[420,7]) ).

tff(422,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(423,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(a2,identity),identity),
    inference(transitivity,[status(thm)],[422,116]) ).

tff(424,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[423,104]) ).

tff(425,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[424,399]) ).

tff(426,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[425]) ).

tff(427,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(428,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[427,7]) ).

tff(429,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(430,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[429,428,23]) ).

tff(431,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(432,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[431,428]) ).

tff(433,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[432,426]) ).

tff(434,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[433,430]) ).

tff(435,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)),
    inference(transitivity,[status(thm)],[434,421,104,415,393,426]) ).

tff(436,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),
    inference(monotonicity,[status(thm)],[435]) ).

tff(437,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[434]) ).

tff(438,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[421]) ).

tff(439,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(440,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(unit_resolution,[status(thm)],[439,7]) ).

tff(441,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[242,189]) ).

tff(442,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(443,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(a2,identity),
    inference(unit_resolution,[status(thm)],[442,7]) ).

tff(444,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(445,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(transitivity,[status(thm)],[444,385,129]) ).

tff(446,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),identity) = multiply(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),
    inference(symmetry,[status(thm)],[172]) ).

tff(447,plain,
    double_divide(a2,identity) = double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[229,276,210,134]) ).

tff(448,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(449,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(transitivity,[status(thm)],[448,385]) ).

tff(450,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[449,447]) ).

tff(451,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[450,218,215,162,169,446,220,223,227,189]) ).

tff(452,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity)) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(monotonicity,[status(thm)],[451,445]) ).

tff(453,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity)),
    inference(symmetry,[status(thm)],[452]) ).

tff(454,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[432,453]) ).

tff(455,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[454,430]) ).

tff(456,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity)),
    inference(transitivity,[status(thm)],[455,443,187,184]) ).

tff(457,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(a2,identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),identity))),
    inference(monotonicity,[status(thm)],[456]) ).

tff(458,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[457,231,400,273,191]) ).

tff(459,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[458]) ).

tff(460,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(461,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(unit_resolution,[status(thm)],[460,7]) ).

tff(462,plain,
    double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[461]) ).

tff(463,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(464,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(a2,identity),
    inference(transitivity,[status(thm)],[463,189]) ).

tff(465,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(monotonicity,[status(thm)],[464,129]) ).

tff(466,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[465,462,459,276,210]) ).

tff(467,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[466,441]) ).

tff(468,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[467]) ).

tff(469,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[237,418]) ).

tff(470,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[469]) ).

tff(471,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[470,417,385,468]) ).

tff(472,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(473,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),
    inference(unit_resolution,[status(thm)],[472,16]) ).

tff(474,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))) = identity,
    inference(symmetry,[status(thm)],[473]) ).

tff(475,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(476,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(unit_resolution,[status(thm)],[475,32]) ).

tff(477,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) = inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),
    inference(symmetry,[status(thm)],[476]) ).

tff(478,plain,
    double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[75,74,73,19,237,418]) ).

tff(479,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[478]) ).

tff(480,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(transitivity,[status(thm)],[479,417,385]) ).

tff(481,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),inverse(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)))),
    inference(monotonicity,[status(thm)],[480,477]) ).

tff(482,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[481,474,18,72,66,25]) ).

tff(483,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[482,471]) ).

tff(484,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity)),
    inference(symmetry,[status(thm)],[483]) ).

tff(485,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),
    inference(monotonicity,[status(thm)],[353,484]) ).

tff(486,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[485,101]) ).

tff(487,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[486,440,438,437]) ).

tff(488,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[487]) ).

tff(489,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[488,436]) ).

tff(490,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[489]) ).

tff(491,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(492,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(unit_resolution,[status(thm)],[491,7]) ).

tff(493,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[492]) ).

tff(494,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(495,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(unit_resolution,[status(thm)],[494,7]) ).

tff(496,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(497,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[496,437]) ).

tff(498,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(499,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[498,7]) ).

tff(500,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[387,23]) ).

tff(501,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),
    inference(transitivity,[status(thm)],[500,276,210]) ).

tff(502,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[501,441]) ).

tff(503,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[502]) ).

tff(504,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[444,385,503]) ).

tff(505,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(monotonicity,[status(thm)],[449]) ).

tff(506,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(transitivity,[status(thm)],[505,103]) ).

tff(507,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[506,504]) ).

tff(508,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity)),
    inference(symmetry,[status(thm)],[507]) ).

tff(509,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[432,508]) ).

tff(510,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[509,430]) ).

tff(511,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[510,499,23]) ).

tff(512,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[71,511]) ).

tff(513,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[512,66,25,71]) ).

tff(514,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[513]) ).

tff(515,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(516,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(unit_resolution,[status(thm)],[515,7]) ).

tff(517,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[516]) ).

tff(518,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(519,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(transitivity,[status(thm)],[518,421]) ).

tff(520,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[519,503]) ).

tff(521,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[520,517,514,66,25]) ).

tff(522,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[521,497]) ).

tff(523,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity)),
    inference(symmetry,[status(thm)],[522]) ).

tff(524,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),
    inference(symmetry,[status(thm)],[436]) ).

tff(525,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[524,523]) ).

tff(526,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[353,525]) ).

tff(527,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[526,101]) ).

tff(528,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[527,495,468]) ).

tff(529,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[528]) ).

tff(530,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(transitivity,[status(thm)],[529,493,490,421]) ).

tff(531,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[530,419]) ).

tff(532,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(533,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))),
    inference(unit_resolution,[status(thm)],[532,7]) ).

tff(534,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[533]) ).

tff(535,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(536,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(unit_resolution,[status(thm)],[535,7]) ).

tff(537,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(538,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[537,7]) ).

tff(539,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(540,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[539,538,23]) ).

tff(541,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))) = double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),
    inference(monotonicity,[status(thm)],[311,377]) ).

tff(542,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[541,101]) ).

tff(543,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(symmetry,[status(thm)],[542]) ).

tff(544,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(545,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)),
    inference(transitivity,[status(thm)],[544,543]) ).

tff(546,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(symmetry,[status(thm)],[89]) ).

tff(547,plain,
    double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[78]) ).

tff(548,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(549,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = a2,
    inference(transitivity,[status(thm)],[548,9]) ).

tff(550,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),
    inference(monotonicity,[status(thm)],[549]) ).

tff(551,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)) = double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),
    inference(transitivity,[status(thm)],[550,547,79,546,366,369,372,286]) ).

tff(552,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(monotonicity,[status(thm)],[551,545]) ).

tff(553,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity)),
    inference(symmetry,[status(thm)],[552]) ).

tff(554,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[23]) ).

tff(555,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)) = double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),
    inference(transitivity,[status(thm)],[554,538]) ).

tff(556,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity))),
    inference(monotonicity,[status(thm)],[555,553]) ).

tff(557,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),double_divide(a2,identity)),a2),double_divide(double_divide(a2,identity),identity))),identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[556,540]) ).

tff(558,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity)),
    inference(transitivity,[status(thm)],[557,536,438,437]) ).

tff(559,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[558]) ).

tff(560,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(transitivity,[status(thm)],[559,436,534,531,417,385]) ).

tff(561,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),
    inference(monotonicity,[status(thm)],[560,22]) ).

tff(562,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(563,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),
    inference(unit_resolution,[status(thm)],[562,7]) ).

tff(564,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(a2,identity)),double_divide(double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(a2,identity)),identity))),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),identity))),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[563]) ).

tff(565,plain,
    double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),
    inference(transitivity,[status(thm)],[564,561,103]) ).

tff(566,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)),double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),identity))),
    inference(monotonicity,[status(thm)],[565,419]) ).

tff(567,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(568,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),
    inference(unit_resolution,[status(thm)],[567,7]) ).

tff(569,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),double_divide(double_divide(double_divide(a2,identity),identity),double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity)))),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),identity),identity))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[568]) ).

tff(570,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),
    inference(transitivity,[status(thm)],[569,566,417,385]) ).

tff(571,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(a2,identity)) = multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(a2,identity)),
    inference(monotonicity,[status(thm)],[570]) ).

tff(572,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(a2,identity)) = multiply(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),a2),double_divide(a2,double_divide(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),identity))),double_divide(a2,identity)),
    inference(symmetry,[status(thm)],[571]) ).

tff(573,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(574,plain,
    multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(a2,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity),
    inference(unit_resolution,[status(thm)],[573,87]) ).

tff(575,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity)),double_divide(a2,identity)),
    inference(symmetry,[status(thm)],[574]) ).

tff(576,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[130,92]) ).

tff(577,plain,
    double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(a2,double_divide(a2,identity)),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a2,identity),double_divide(double_divide(double_divide(double_divide(a2,identity),inverse(double_divide(a2,identity))),double_divide(double_divide(a2,identity),identity)),double_divide(a2,identity))),identity),
    inference(symmetry,[status(thm)],[576]) ).

tff(578,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(identity,a2) = double_divide(double_divide(a2,identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(579,plain,
    multiply(identity,a2) = double_divide(double_divide(a2,identity),identity),
    inference(unit_resolution,[status(thm)],[578,87]) ).

tff(580,plain,
    multiply(identity,a2) = a2,
    inference(transitivity,[status(thm)],[579,117,577,575,572,383,381,9]) ).

tff(581,plain,
    ( ( multiply(identity,a2) != a2 )
  <=> ( multiply(identity,a2) != a2 ) ),
    inference(rewrite,[status(thm)],]) ).

tff(582,axiom,
    multiply(identity,a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

tff(583,plain,
    multiply(identity,a2) != a2,
    inference(modus_ponens,[status(thm)],[582,581]) ).

tff(584,plain,
    $false,
    inference(unit_resolution,[status(thm)],[583,580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 31 17:56:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.21/0.35  Usage: tptp [options] [-file:]file
% 0.21/0.35    -h, -?       prints this message.
% 0.21/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.21/0.35    -m, -model   generate model.
% 0.21/0.35    -p, -proof   generate proof.
% 0.21/0.35    -c, -core    generate unsat core of named formulas.
% 0.21/0.35    -st, -statistics display statistics.
% 0.21/0.35    -t:timeout   set timeout (in second).
% 0.21/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.21/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.21/0.35    -<param>:<value> configuration parameter and value.
% 0.21/0.35    -o:<output-file> file to place output in.
% 1.34/1.13  % SZS status Unsatisfiable
% 1.34/1.13  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------