%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n020.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 22:27:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Proof 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  101
%            Number of leaves      :   83
% Syntax   : Number of formulae    :  624 ( 545 unt;   5 typ;   0 def)
%            Number of atoms       :  699 ( 695 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  148 (  71   ~;  67   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   20 (   3 avg)
%            Number of FOOLs       :    3 (   3 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   :  257 ( 249   !;   0   ?; 257   :)

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

tff(b1_type,type,
    b1: $i ).

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

tff(a1_type,type,
    a1: $i ).

tff(divide_type,type,
    divide: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

tff(8,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = multiply(inverse(b1),b1),
    inference(symmetry,[status(thm)],[9]) ).

tff(11,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(
        ( ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
      <=> ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) )),
    inference(bind,[status(th)],]) ).

tff(12,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ) ),
    inference(rewrite,[status(thm)],]) ).

tff(14,axiom,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

tff(15,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
    inference(skolemize,[status(sab)],[15]) ).

tff(17,plain,
    ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
    inference(modus_ponens,[status(thm)],[16,12]) ).

tff(18,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))))),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(19,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))))),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[18,17]) ).

tff(20,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = a1 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(21,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = a1,
    inference(unit_resolution,[status(thm)],[20,17]) ).

tff(22,plain,
    ^ [B: $i,A: $i] :
      refl(
        ( ( inverse(A) = divide(divide(B,B),A) )
      <=> ( inverse(A) = divide(divide(B,B),A) ) )),
    inference(bind,[status(th)],]) ).

tff(23,plain,
    ( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
  <=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
    inference(quant_intro,[status(thm)],[22]) ).

tff(24,plain,
    ( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
  <=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(25,axiom,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

tff(26,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(modus_ponens,[status(thm)],[25,24]) ).

tff(27,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(skolemize,[status(sab)],[26]) ).

tff(28,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(modus_ponens,[status(thm)],[27,23]) ).

tff(29,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(b1) = divide(divide(a1,a1),b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(30,plain,
    inverse(b1) = divide(divide(a1,a1),b1),
    inference(unit_resolution,[status(thm)],[29,28]) ).

tff(31,plain,
    divide(inverse(b1),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(monotonicity,[status(thm)],[30]) ).

tff(32,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(inverse(b1),inverse(b1)),
    inference(symmetry,[status(thm)],[31]) ).

tff(33,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[32]) ).

tff(34,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[33]) ).

tff(35,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(36,plain,
    inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[35,28]) ).

tff(37,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(38,plain,
    inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[37,28]) ).

tff(39,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = inverse(divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[38]) ).

tff(40,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[39,36,34]) ).

tff(41,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1),
    inference(monotonicity,[status(thm)],[40]) ).

tff(42,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)) = divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(monotonicity,[status(thm)],[41]) ).

tff(43,plain,
    divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)) = divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(symmetry,[status(thm)],[42]) ).

tff(44,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(45,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[44,17]) ).

tff(46,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a1) = divide(divide(inverse(b1),inverse(b1)),a1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(47,plain,
    inverse(a1) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(unit_resolution,[status(thm)],[46,28]) ).

tff(48,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a1) = divide(divide(a1,a1),a1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(49,plain,
    inverse(a1) = divide(divide(a1,a1),a1),
    inference(unit_resolution,[status(thm)],[48,28]) ).

tff(50,plain,
    divide(divide(a1,a1),a1) = inverse(a1),
    inference(symmetry,[status(thm)],[49]) ).

tff(51,plain,
    divide(divide(a1,a1),a1) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(transitivity,[status(thm)],[50,47]) ).

tff(52,plain,
    divide(divide(divide(a1,a1),a1),inverse(b1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),
    inference(monotonicity,[status(thm)],[51,30]) ).

tff(53,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(divide(a1,a1),a1),inverse(b1)),
    inference(symmetry,[status(thm)],[52]) ).

tff(54,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = inverse(b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(55,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = inverse(b1),
    inference(unit_resolution,[status(thm)],[54,17]) ).

tff(56,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(b1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(57,plain,
    inverse(b1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1),
    inference(unit_resolution,[status(thm)],[56,28]) ).

tff(58,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = inverse(b1),
    inference(symmetry,[status(thm)],[57]) ).

tff(59,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1),
    inference(monotonicity,[status(thm)],[40]) ).

tff(60,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = inverse(b1),
    inference(transitivity,[status(thm)],[59,58]) ).

tff(61,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(inverse(b1),inverse(b1)),
    inference(monotonicity,[status(thm)],[60]) ).

tff(62,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[61,31]) ).

tff(63,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[62]) ).

tff(64,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(symmetry,[status(thm)],[63]) ).

tff(65,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(transitivity,[status(thm)],[34,64]) ).

tff(66,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[34,65]) ).

tff(67,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(monotonicity,[status(thm)],[66]) ).

tff(68,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[66]) ).

tff(69,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(70,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[69,17]) ).

tff(71,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[63,33]) ).

tff(72,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(73,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),
    inference(unit_resolution,[status(thm)],[72,17]) ).

tff(74,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[40]) ).

tff(75,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[74,39,36]) ).

tff(76,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(monotonicity,[status(thm)],[75]) ).

tff(77,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[76,70]) ).

tff(78,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[77]) ).

tff(79,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(transitivity,[status(thm)],[78,64]) ).

tff(80,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[79]) ).

tff(81,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[80,68]) ).

tff(82,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[81]) ).

tff(83,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[82]) ).

tff(84,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(85,plain,
    inverse(divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[84,28]) ).

tff(86,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = inverse(divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[36]) ).

tff(87,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),
    inference(transitivity,[status(thm)],[33,86,85,83,73]) ).

tff(88,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(monotonicity,[status(thm)],[87,71]) ).

tff(89,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(transitivity,[status(thm)],[74,39,36,34,64]) ).

tff(90,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[34,89]) ).

tff(91,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[90,88,70]) ).

tff(92,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[91]) ).

tff(93,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[90]) ).

tff(94,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[66,93]) ).

tff(95,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(monotonicity,[status(thm)],[31,94]) ).

tff(96,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(transitivity,[status(thm)],[95,92,64]) ).

tff(97,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(98,plain,
    multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(unit_resolution,[status(thm)],[97,7]) ).

tff(99,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[66,88,70]) ).

tff(100,plain,
    multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[99]) ).

tff(101,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(102,plain,
    multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[101,7]) ).

tff(103,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = multiply(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[102]) ).

tff(104,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[95]) ).

tff(105,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[33,104]) ).

tff(106,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(107,plain,
    inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[106,28]) ).

tff(108,plain,
    inverse(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[95]) ).

tff(109,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(110,plain,
    inverse(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[109,28]) ).

tff(111,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = inverse(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[110]) ).

tff(112,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[40,65]) ).

tff(113,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[112,93]) ).

tff(114,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(monotonicity,[status(thm)],[113]) ).

tff(115,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(transitivity,[status(thm)],[114,104]) ).

tff(116,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[32,115]) ).

tff(117,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[114]) ).

tff(118,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[92]) ).

tff(119,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),divide(inverse(b1),divide(divide(a1,a1),b1))) = inverse(divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[85]) ).

tff(120,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[73]) ).

tff(121,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[116]) ).

tff(122,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),
    inference(monotonicity,[status(thm)],[34,121]) ).

tff(123,plain,
    inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = inverse(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[108]) ).

tff(124,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[107]) ).

tff(125,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[105]) ).

tff(126,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[39,36]) ).

tff(127,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[126]) ).

tff(128,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[127,125,124,123,110]) ).

tff(129,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),
    inference(monotonicity,[status(thm)],[128]) ).

tff(130,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))),
    inference(transitivity,[status(thm)],[129,122,120,82,119,36,34,118,117]) ).

tff(131,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[130]) ).

tff(132,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[131,116,111,108,107,105,103,100,98,66,88,70]) ).

tff(133,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[132]) ).

tff(134,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[133,39,36,34]) ).

tff(135,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[134,96]) ).

tff(136,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(137,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[136,17]) ).

tff(138,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[137]) ).

tff(139,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(140,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[139,17]) ).

tff(141,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(142,plain,
    inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(unit_resolution,[status(thm)],[141,28]) ).

tff(143,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(144,plain,
    multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(unit_resolution,[status(thm)],[143,7]) ).

tff(145,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(146,plain,
    multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(unit_resolution,[status(thm)],[145,7]) ).

tff(147,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1),
    inference(symmetry,[status(thm)],[146]) ).

tff(148,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = inverse(b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(149,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = inverse(b1),
    inference(unit_resolution,[status(thm)],[148,17]) ).

tff(150,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[60]) ).

tff(151,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1),
    inference(transitivity,[status(thm)],[150,149,57]) ).

tff(152,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(monotonicity,[status(thm)],[151]) ).

tff(153,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(transitivity,[status(thm)],[152,147,144]) ).

tff(154,plain,
    inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[153]) ).

tff(155,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(156,plain,
    inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(unit_resolution,[status(thm)],[155,28]) ).

tff(157,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = inverse(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(symmetry,[status(thm)],[156]) ).

tff(158,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(symmetry,[status(thm)],[150]) ).

tff(159,plain,
    inverse(b1) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[149]) ).

tff(160,plain,
    inverse(b1) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[159,158]) ).

tff(161,plain,
    divide(divide(inverse(b1),inverse(b1)),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[31,160]) ).

tff(162,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),inverse(b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[34,161]) ).

tff(163,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),inverse(b1)),inverse(b1)),
    inference(symmetry,[status(thm)],[161]) ).

tff(164,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(symmetry,[status(thm)],[152]) ).

tff(165,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) = multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),b1),
    inference(symmetry,[status(thm)],[144]) ).

tff(166,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) = divide(divide(inverse(b1),inverse(b1)),inverse(b1)),
    inference(transitivity,[status(thm)],[165,146,164,163]) ).

tff(167,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),inverse(b1))),
    inference(monotonicity,[status(thm)],[126,166]) ).

tff(168,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(transitivity,[status(thm)],[167,162,157,154,142]) ).

tff(169,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[168]) ).

tff(170,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[169]) ).

tff(171,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[59,58,159,158]) ).

tff(172,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[171]) ).

tff(173,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(symmetry,[status(thm)],[172]) ).

tff(174,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[165,146,164,173]) ).

tff(175,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[31,174]) ).

tff(176,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(symmetry,[status(thm)],[175]) ).

tff(177,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[39,36,138,135,88,70]) ).

tff(178,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[177,160]) ).

tff(179,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[178,173]) ).

tff(180,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[179]) ).

tff(181,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(transitivity,[status(thm)],[180,176]) ).

tff(182,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[135]) ).

tff(183,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(symmetry,[status(thm)],[88]) ).

tff(184,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[70]) ).

tff(185,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[184,183,182,137]) ).

tff(186,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[185,181]) ).

tff(187,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[186,170]) ).

tff(188,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[33,138,135,88,70]) ).

tff(189,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[188,187]) ).

tff(190,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),
    inference(symmetry,[status(thm)],[189]) ).

tff(191,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[32,169]) ).

tff(192,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[191]) ).

tff(193,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),
    inference(transitivity,[status(thm)],[192,190]) ).

tff(194,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[193,60]) ).

tff(195,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[194,140]) ).

tff(196,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[195]) ).

tff(197,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[196,33,138,135,88,70]) ).

tff(198,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,197]) ).

tff(199,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[198,33,138,135,68]) ).

tff(200,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1),
    inference(monotonicity,[status(thm)],[199]) ).

tff(201,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(202,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(unit_resolution,[status(thm)],[201,17]) ).

tff(203,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(symmetry,[status(thm)],[202]) ).

tff(204,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(205,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[204,17]) ).

tff(206,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[126]) ).

tff(207,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[206,170]) ).

tff(208,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[207]) ).

tff(209,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[208]) ).

tff(210,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(transitivity,[status(thm)],[192,209]) ).

tff(211,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(monotonicity,[status(thm)],[177,210]) ).

tff(212,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[184,183,182,137,34]) ).

tff(213,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(monotonicity,[status(thm)],[212,211]) ).

tff(214,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(symmetry,[status(thm)],[213]) ).

tff(215,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[177,170]) ).

tff(216,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(transitivity,[status(thm)],[215,209]) ).

tff(217,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(monotonicity,[status(thm)],[216]) ).

tff(218,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(monotonicity,[status(thm)],[212,217]) ).

tff(219,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(transitivity,[status(thm)],[218,214]) ).

tff(220,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(monotonicity,[status(thm)],[188,219]) ).

tff(221,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(symmetry,[status(thm)],[220]) ).

tff(222,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(223,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[222,17]) ).

tff(224,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[168]) ).

tff(225,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[224,223]) ).

tff(226,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[225]) ).

tff(227,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[226,33,138,135,88,70]) ).

tff(228,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,227]) ).

tff(229,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[228,33,138,135,88,70]) ).

tff(230,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[229,174]) ).

tff(231,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(232,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(unit_resolution,[status(thm)],[231,17]) ).

tff(233,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(symmetry,[status(thm)],[232]) ).

tff(234,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(transitivity,[status(thm)],[213,233,230,176]) ).

tff(235,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[185,234]) ).

tff(236,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(symmetry,[status(thm)],[235]) ).

tff(237,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(transitivity,[status(thm)],[236,221]) ).

tff(238,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[237]) ).

tff(239,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[238,205]) ).

tff(240,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[239,170]) ).

tff(241,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = inverse(b1),
    inference(transitivity,[status(thm)],[240,191,203,200,67,55]) ).

tff(242,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(monotonicity,[status(thm)],[241,53]) ).

tff(243,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[242]) ).

tff(244,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[243]) ).

tff(245,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(246,plain,
    inverse(divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(unit_resolution,[status(thm)],[245,28]) ).

tff(247,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(248,plain,
    inverse(divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(unit_resolution,[status(thm)],[247,28]) ).

tff(249,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))) = inverse(divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(symmetry,[status(thm)],[248]) ).

tff(250,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[212,242]) ).

tff(251,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[250,249,246,244]) ).

tff(252,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(monotonicity,[status(thm)],[251]) ).

tff(253,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[252]) ).

tff(254,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[253]) ).

tff(255,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[254]) ).

tff(256,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(257,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[256,17]) ).

tff(258,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[257]) ).

tff(259,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[258,255,45]) ).

tff(260,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(monotonicity,[status(thm)],[259,43]) ).

tff(261,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(symmetry,[status(thm)],[260]) ).

tff(262,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(monotonicity,[status(thm)],[32]) ).

tff(263,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(symmetry,[status(thm)],[262]) ).

tff(264,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(265,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(unit_resolution,[status(thm)],[264,17]) ).

tff(266,plain,
    divide(divide(inverse(b1),inverse(b1)),a1) = inverse(a1),
    inference(symmetry,[status(thm)],[47]) ).

tff(267,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(inverse(b1),inverse(b1)),a1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(268,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(unit_resolution,[status(thm)],[267,17]) ).

tff(269,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[60]) ).

tff(270,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(symmetry,[status(thm)],[269]) ).

tff(271,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(272,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[271,17]) ).

tff(273,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[272]) ).

tff(274,plain,
    divide(divide(inverse(b1),inverse(b1)),a1) = divide(divide(a1,a1),a1),
    inference(transitivity,[status(thm)],[266,49]) ).

tff(275,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(a1,a1),a1),inverse(b1)),
    inference(monotonicity,[status(thm)],[274,60]) ).

tff(276,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[275,52,273,270]) ).

tff(277,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[276]) ).

tff(278,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[277]) ).

tff(279,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(symmetry,[status(thm)],[278]) ).

tff(280,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(monotonicity,[status(thm)],[279]) ).

tff(281,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(282,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),
    inference(unit_resolution,[status(thm)],[281,17]) ).

tff(283,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(symmetry,[status(thm)],[282]) ).

tff(284,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[52]) ).

tff(285,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(symmetry,[status(thm)],[284]) ).

tff(286,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(287,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[286,17]) ).

tff(288,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[287]) ).

tff(289,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[52]) ).

tff(290,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(transitivity,[status(thm)],[289,258,255,45,288,285]) ).

tff(291,plain,
    divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[290]) ).

tff(292,plain,
    divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(symmetry,[status(thm)],[291]) ).

tff(293,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),
    inference(monotonicity,[status(thm)],[292]) ).

tff(294,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(295,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[294,17]) ).

tff(296,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(297,plain,
    inverse(a1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1),
    inference(unit_resolution,[status(thm)],[296,28]) ).

tff(298,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(299,plain,
    inverse(divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(unit_resolution,[status(thm)],[298,28]) ).

tff(300,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(301,plain,
    inverse(divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(unit_resolution,[status(thm)],[300,28]) ).

tff(302,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = inverse(divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[301]) ).

tff(303,plain,
    divide(divide(divide(a1,a1),a1),inverse(b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[52,273,270]) ).

tff(304,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[303]) ).

tff(305,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(symmetry,[status(thm)],[304]) ).

tff(306,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[273,270]) ).

tff(307,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[31,306]) ).

tff(308,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(transitivity,[status(thm)],[307,305]) ).

tff(309,plain,
    divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[308]) ).

tff(310,plain,
    divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[309]) ).

tff(311,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[177,306]) ).

tff(312,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(transitivity,[status(thm)],[311,305]) ).

tff(313,plain,
    divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[312]) ).

tff(314,plain,
    divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[313,310]) ).

tff(315,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(monotonicity,[status(thm)],[212,314]) ).

tff(316,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(transitivity,[status(thm)],[315,302,299]) ).

tff(317,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[188,316]) ).

tff(318,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[317]) ).

tff(319,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(320,plain,
    multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[319,7]) ).

tff(321,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(322,plain,
    multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[321,7]) ).

tff(323,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[322]) ).

tff(324,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(325,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[324,17]) ).

tff(326,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[60]) ).

tff(327,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[326,325]) ).

tff(328,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[327]) ).

tff(329,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(transitivity,[status(thm)],[328,64]) ).

tff(330,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[329]) ).

tff(331,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[330,68]) ).

tff(332,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1),
    inference(monotonicity,[status(thm)],[331]) ).

tff(333,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(334,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),
    inference(unit_resolution,[status(thm)],[333,17]) ).

tff(335,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(symmetry,[status(thm)],[334]) ).

tff(336,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),
    inference(monotonicity,[status(thm)],[309]) ).

tff(337,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[336,335,332,67,55,159,158]) ).

tff(338,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[337]) ).

tff(339,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(a1,a1),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[338]) ).

tff(340,plain,
    divide(divide(inverse(b1),inverse(b1)),inverse(b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[161,339,323,320,318]) ).

tff(341,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[340]) ).

tff(342,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = a1,
    inference(transitivity,[status(thm)],[341,21]) ).

tff(343,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(monotonicity,[status(thm)],[32,342]) ).

tff(344,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1),
    inference(transitivity,[status(thm)],[343,266,297]) ).

tff(345,plain,
    divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(monotonicity,[status(thm)],[344]) ).

tff(346,plain,
    divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(transitivity,[status(thm)],[345,43]) ).

tff(347,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(monotonicity,[status(thm)],[31,346]) ).

tff(348,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[347]) ).

tff(349,plain,
    divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(a1,a1),a1),
    inference(monotonicity,[status(thm)],[342]) ).

tff(350,plain,
    divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1),
    inference(transitivity,[status(thm)],[349,50,297]) ).

tff(351,plain,
    divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(monotonicity,[status(thm)],[350]) ).

tff(352,plain,
    divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(transitivity,[status(thm)],[351,43]) ).

tff(353,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(monotonicity,[status(thm)],[31,352]) ).

tff(354,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[353,348]) ).

tff(355,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[354]) ).

tff(356,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[353]) ).

tff(357,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[263,356]) ).

tff(358,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[357,52]) ).

tff(359,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))),
    inference(transitivity,[status(thm)],[358,355,295,288,285]) ).

tff(360,plain,
    divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1)))) = divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1)))),
    inference(monotonicity,[status(thm)],[359]) ).

tff(361,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))),
    inference(monotonicity,[status(thm)],[360]) ).

tff(362,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(a1,a1),a1),
    inference(transitivity,[status(thm)],[361,293,283,280,268,266,49]) ).

tff(363,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(a1,a1),a1),inverse(b1)),
    inference(monotonicity,[status(thm)],[362]) ).

tff(364,plain,
    divide(divide(divide(a1,a1),a1),inverse(b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[363]) ).

tff(365,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(transitivity,[status(thm)],[53,364,265,263,261]) ).

tff(366,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = multiply(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[320]) ).

tff(367,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(transitivity,[status(thm)],[317,366,322,338,152,147,144]) ).

tff(368,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(monotonicity,[status(thm)],[367,365]) ).

tff(369,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[368]) ).

tff(370,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))) = a1,
    inference(transitivity,[status(thm)],[369,21]) ).

tff(371,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))))) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(monotonicity,[status(thm)],[370]) ).

tff(372,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(373,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(unit_resolution,[status(thm)],[372,17]) ).

tff(374,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(symmetry,[status(thm)],[230]) ).

tff(375,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(376,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(unit_resolution,[status(thm)],[375,17]) ).

tff(377,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(monotonicity,[status(thm)],[33,191]) ).

tff(378,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(symmetry,[status(thm)],[377]) ).

tff(379,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(380,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(unit_resolution,[status(thm)],[379,17]) ).

tff(381,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(transitivity,[status(thm)],[178,152,147,144]) ).

tff(382,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[378,381]) ).

tff(383,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[382,376,138,135,88,70]) ).

tff(384,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[383]) ).

tff(385,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[384,33,138,135,88,70]) ).

tff(386,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,385]) ).

tff(387,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[386,33,138,135,88,70]) ).

tff(388,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[387,160]) ).

tff(389,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[388]) ).

tff(390,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(transitivity,[status(thm)],[165,146,164,389,380,378]) ).

tff(391,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[390]) ).

tff(392,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[391,376,138,135,88,70]) ).

tff(393,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[392,174]) ).

tff(394,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(transitivity,[status(thm)],[393,374,232]) ).

tff(395,plain,
    divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[394]) ).

tff(396,plain,
    divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[395,223]) ).

tff(397,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[396]) ).

tff(398,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[397,33,138,135,88,70]) ).

tff(399,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(400,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[399,17]) ).

tff(401,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = inverse(b1),
    inference(transitivity,[status(thm)],[215,191,203,200,67,55]) ).

tff(402,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[401]) ).

tff(403,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[402,400]) ).

tff(404,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[403]) ).

tff(405,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[404,33,138,135,88,70]) ).

tff(406,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,405]) ).

tff(407,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[406,33,138,135,88,70]) ).

tff(408,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[407,170]) ).

tff(409,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(410,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),
    inference(unit_resolution,[status(thm)],[409,17]) ).

tff(411,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[410]) ).

tff(412,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),
    inference(transitivity,[status(thm)],[240,190]) ).

tff(413,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)),
    inference(monotonicity,[status(thm)],[412]) ).

tff(414,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[413,140]) ).

tff(415,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[414]) ).

tff(416,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))),
    inference(symmetry,[status(thm)],[415]) ).

tff(417,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))),
    inference(transitivity,[status(thm)],[74,39,36,34,416]) ).

tff(418,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1)))),
    inference(monotonicity,[status(thm)],[417]) ).

tff(419,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[238]) ).

tff(420,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[205]) ).

tff(421,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(transitivity,[status(thm)],[420,419]) ).

tff(422,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),inverse(b1))))),
    inference(monotonicity,[status(thm)],[421,418]) ).

tff(423,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[422,411,408,191,203,200,67,55,159,158]) ).

tff(424,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[188,423]) ).

tff(425,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[424]) ).

tff(426,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[165,146,164,425]) ).

tff(427,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[426,398]) ).

tff(428,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[427,373,170]) ).

tff(429,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[392,428]) ).

tff(430,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(431,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(unit_resolution,[status(thm)],[430,17]) ).

tff(432,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(transitivity,[status(thm)],[172,152,147,144]) ).

tff(433,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(434,plain,
    divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[433,17]) ).

tff(435,plain,
    divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[168]) ).

tff(436,plain,
    divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[435,434]) ).

tff(437,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[436]) ).

tff(438,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[437,33,138,135,88,70]) ).

tff(439,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,438]) ).

tff(440,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(symmetry,[status(thm)],[439]) ).

tff(441,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(transitivity,[status(thm)],[184,183,182,137,34,440]) ).

tff(442,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[441,432]) ).

tff(443,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(444,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(unit_resolution,[status(thm)],[443,17]) ).

tff(445,plain,
    divide(divide(inverse(b1),inverse(b1)),inverse(b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(transitivity,[status(thm)],[161,389,380,378]) ).

tff(446,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[445]) ).

tff(447,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[446,376,138,135,88,70]) ).

tff(448,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[447]) ).

tff(449,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[448,33,138,135,88,70]) ).

tff(450,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(451,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[450,17]) ).

tff(452,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[206]) ).

tff(453,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[452,451]) ).

tff(454,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[453]) ).

tff(455,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[454,33,138,135,88,70]) ).

tff(456,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,455]) ).

tff(457,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[456,33]) ).

tff(458,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[457]) ).

tff(459,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(460,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(unit_resolution,[status(thm)],[459,17]) ).

tff(461,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[460]) ).

tff(462,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(transitivity,[status(thm)],[175,374,232]) ).

tff(463,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[462]) ).

tff(464,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[463,223,184,183,182,137]) ).

tff(465,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(monotonicity,[status(thm)],[464]) ).

tff(466,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(transitivity,[status(thm)],[465,236,221]) ).

tff(467,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[466]) ).

tff(468,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[467,205]) ).

tff(469,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[468]) ).

tff(470,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(symmetry,[status(thm)],[469]) ).

tff(471,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(transitivity,[status(thm)],[74,39,36,34,470]) ).

tff(472,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),
    inference(monotonicity,[status(thm)],[471]) ).

tff(473,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[463]) ).

tff(474,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[223]) ).

tff(475,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[474,473]) ).

tff(476,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(monotonicity,[status(thm)],[475,472]) ).

tff(477,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[476,461,458,170]) ).

tff(478,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[188,477]) ).

tff(479,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[478]) ).

tff(480,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(symmetry,[status(thm)],[200]) ).

tff(481,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1),
    inference(symmetry,[status(thm)],[67]) ).

tff(482,plain,
    inverse(b1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),b1),
    inference(symmetry,[status(thm)],[55]) ).

tff(483,plain,
    inverse(b1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[482,481,480,202,192,479]) ).

tff(484,plain,
    divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[483,449]) ).

tff(485,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[448]) ).

tff(486,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(487,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[486,17]) ).

tff(488,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1),
    inference(monotonicity,[status(thm)],[342]) ).

tff(489,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[488,487,184,183,182,137,34,485]) ).

tff(490,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[489]) ).

tff(491,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[490,484,444,175,442,431,429,191,203,200,67,55,159,158]) ).

tff(492,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[31,491]) ).

tff(493,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[492,339,323,320,318]) ).

tff(494,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[493]) ).

tff(495,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(496,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),
    inference(unit_resolution,[status(thm)],[495,17]) ).

tff(497,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[496]) ).

tff(498,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[484]) ).

tff(499,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[444]) ).

tff(500,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(transitivity,[status(thm)],[499,498]) ).

tff(501,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(inverse(b1),inverse(b1)),
    inference(transitivity,[status(thm)],[138,135,88,70,32]) ).

tff(502,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(monotonicity,[status(thm)],[501,500]) ).

tff(503,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(symmetry,[status(thm)],[502]) ).

tff(504,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(505,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(unit_resolution,[status(thm)],[504,17]) ).

tff(506,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(507,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(unit_resolution,[status(thm)],[506,17]) ).

tff(508,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),
    inference(monotonicity,[status(thm)],[381]) ).

tff(509,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[508,507]) ).

tff(510,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[509]) ).

tff(511,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1)))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[510,33,138,135,88,70]) ).

tff(512,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[188,511]) ).

tff(513,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[512,33,138,135,88,70]) ).

tff(514,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[513,160]) ).

tff(515,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[514]) ).

tff(516,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),a1) = inverse(b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(517,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),a1) = inverse(b1),
    inference(unit_resolution,[status(thm)],[516,17]) ).

tff(518,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(monotonicity,[status(thm)],[262]) ).

tff(519,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(symmetry,[status(thm)],[518]) ).

tff(520,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(521,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(unit_resolution,[status(thm)],[520,17]) ).

tff(522,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),a1),
    inference(monotonicity,[status(thm)],[519,342]) ).

tff(523,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = inverse(b1),
    inference(transitivity,[status(thm)],[522,517]) ).

tff(524,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),inverse(b1)),
    inference(monotonicity,[status(thm)],[523]) ).

tff(525,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[524,31]) ).

tff(526,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[31,525]) ).

tff(527,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[526,33,138,135,88,70]) ).

tff(528,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[527,306]) ).

tff(529,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[528]) ).

tff(530,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[259,306]) ).

tff(531,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(transitivity,[status(thm)],[530,529,521,519]) ).

tff(532,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),a1),
    inference(monotonicity,[status(thm)],[531]) ).

tff(533,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1) = divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[532,517,159,158]) ).

tff(534,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(inverse(b1),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[533]) ).

tff(535,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[534,515,505,503]) ).

tff(536,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(a1,a1),a1),inverse(b1)),
    inference(monotonicity,[status(thm)],[274,401]) ).

tff(537,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)),
    inference(transitivity,[status(thm)],[536,52,273,270]) ).

tff(538,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[537]) ).

tff(539,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[538]) ).

tff(540,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(symmetry,[status(thm)],[539]) ).

tff(541,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(542,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),
    inference(unit_resolution,[status(thm)],[541,17]) ).

tff(543,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1) = inverse(b1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(544,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1) = inverse(b1),
    inference(unit_resolution,[status(thm)],[543,17]) ).

tff(545,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(monotonicity,[status(thm)],[212,311]) ).

tff(546,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(symmetry,[status(thm)],[545]) ).

tff(547,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(548,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(unit_resolution,[status(thm)],[547,17]) ).

tff(549,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1) = inverse(b1),
    inference(transitivity,[status(thm)],[532,517]) ).

tff(550,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)) = divide(inverse(b1),inverse(b1)),
    inference(monotonicity,[status(thm)],[549]) ).

tff(551,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[550,31]) ).

tff(552,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),inverse(b1)),a1) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(553,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(unit_resolution,[status(thm)],[552,17]) ).

tff(554,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[397]) ).

tff(555,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(transitivity,[status(thm)],[184,183,182,137,34,554]) ).

tff(556,plain,
    divide(divide(inverse(b1),inverse(b1)),inverse(b1)) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),
    inference(transitivity,[status(thm)],[161,152,147,144]) ).

tff(557,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))),
    inference(monotonicity,[status(thm)],[556,555]) ).

tff(558,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),
    inference(transitivity,[status(thm)],[557,427,373]) ).

tff(559,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[540,558]) ).

tff(560,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1),
    inference(transitivity,[status(thm)],[559,553,266,297]) ).

tff(561,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(monotonicity,[status(thm)],[560]) ).

tff(562,plain,
    divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)),
    inference(transitivity,[status(thm)],[561,43]) ).

tff(563,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))),
    inference(monotonicity,[status(thm)],[31,562]) ).

tff(564,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(symmetry,[status(thm)],[563]) ).

tff(565,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),
    inference(transitivity,[status(thm)],[53,364,265,263,564]) ).

tff(566,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))))),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[565,551]) ).

tff(567,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))),
    inference(transitivity,[status(thm)],[566,548,546]) ).

tff(568,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(monotonicity,[status(thm)],[259,567]) ).

tff(569,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),
    inference(symmetry,[status(thm)],[568]) ).

tff(570,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),
    inference(monotonicity,[status(thm)],[421,545]) ).

tff(571,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))),
    inference(symmetry,[status(thm)],[570]) ).

tff(572,plain,
    divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),
    inference(transitivity,[status(thm)],[571,569]) ).

tff(573,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),a1),
    inference(monotonicity,[status(thm)],[572,342]) ).

tff(574,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))) = inverse(b1),
    inference(transitivity,[status(thm)],[573,544]) ).

tff(575,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),inverse(b1)),
    inference(monotonicity,[status(thm)],[574]) ).

tff(576,plain,
    divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[575,31]) ).

tff(577,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),
    inference(monotonicity,[status(thm)],[31,576]) ).

tff(578,plain,
    divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(inverse(b1),divide(divide(a1,a1),b1)),
    inference(transitivity,[status(thm)],[577,33,138,135,88,70]) ).

tff(579,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))),
    inference(monotonicity,[status(thm)],[578,306]) ).

tff(580,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),inverse(b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[579]) ).

tff(581,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1))))),
    inference(transitivity,[status(thm)],[580,542]) ).

tff(582,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))))),
    inference(monotonicity,[status(thm)],[188,581]) ).

tff(583,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))),
    inference(symmetry,[status(thm)],[582]) ).

tff(584,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))))) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(monotonicity,[status(thm)],[212,571]) ).

tff(585,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) = divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(a1,a1),a1),inverse(b1))))),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),b1)))))),
    inference(symmetry,[status(thm)],[584]) ).

tff(586,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B )
    | ( divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(587,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),
    inference(unit_resolution,[status(thm)],[586,17]) ).

tff(588,plain,
    divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))) = divide(divide(a1,a1),a1),
    inference(transitivity,[status(thm)],[293,283,280,268,266,49]) ).

tff(589,plain,
    divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)) = divide(divide(divide(a1,a1),a1),inverse(b1)),
    inference(monotonicity,[status(thm)],[588]) ).

tff(590,plain,
    divide(divide(divide(a1,a1),a1),inverse(b1)) = divide(divide(divide(a1,a1),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(a1,a1),a1),inverse(b1))))),inverse(b1)),
    inference(symmetry,[status(thm)],[589]) ).

tff(591,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),
    inference(transitivity,[status(thm)],[53,590,587,585,583,540]) ).

tff(592,plain,
    divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(monotonicity,[status(thm)],[591,535]) ).

tff(593,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))),
    inference(symmetry,[status(thm)],[592]) ).

tff(594,plain,
    divide(divide(inverse(b1),inverse(b1)),a1) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),
    inference(symmetry,[status(thm)],[553]) ).

tff(595,plain,
    divide(divide(inverse(b1),inverse(b1)),a1) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))),
    inference(transitivity,[status(thm)],[594,593]) ).

tff(596,plain,
    divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[255]) ).

tff(597,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[45]) ).

tff(598,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[39,36,138,135,88,70,597,596,257]) ).

tff(599,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1)) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),
    inference(monotonicity,[status(thm)],[598,595]) ).

tff(600,plain,
    divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1)) = a1,
    inference(transitivity,[status(thm)],[599,497,494,21]) ).

tff(601,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(monotonicity,[status(thm)],[32,600]) ).

tff(602,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1))),
    inference(transitivity,[status(thm)],[601,594,593]) ).

tff(603,plain,
    divide(inverse(b1),divide(divide(a1,a1),b1)) = divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(transitivity,[status(thm)],[597,596,257]) ).

tff(604,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1)))) = divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),a1)))),
    inference(monotonicity,[status(thm)],[603,602]) ).

tff(605,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1)))) = a1,
    inference(transitivity,[status(thm)],[604,497,494,21]) ).

tff(606,plain,
    divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))) = divide(inverse(b1),inverse(b1)),
    inference(transitivity,[status(thm)],[33,138,135,88,70,32]) ).

tff(607,plain,
    divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))))) = divide(divide(inverse(b1),inverse(b1)),a1),
    inference(monotonicity,[status(thm)],[606,605]) ).

tff(608,plain,
    divide(divide(inverse(b1),inverse(b1)),a1) = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))))),
    inference(symmetry,[status(thm)],[607]) ).

tff(609,plain,
    divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))))) = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),a1))))),divide(divide(inverse(b1),inverse(b1)),a1)),
    inference(monotonicity,[status(thm)],[608,371]) ).

tff(610,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))))) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(611,plain,
    multiply(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))))) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(inverse(b1),inverse(b1)),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))))),
    inference(unit_resolution,[status(thm)],[610,7]) ).

tff(612,plain,
    a1 = divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(a1,divide(divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)))))),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),
    inference(symmetry,[status(thm)],[21]) ).

tff(613,plain,
    a1 = divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1)))),
    inference(transitivity,[status(thm)],[612,368]) ).

tff(614,plain,
    multiply(inverse(a1),a1) = multiply(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),divide(divide(a1,a1),b1)))),b1)),divide(divide(divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1)),divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(a1,a1),b1))),divide(inverse(b1),divide(divide(divide(inverse(b1),divide(divide(a1,a1),b1)),divide(inverse(b1),divide(divide(a1,a1),b1))),a1))))),
    inference(monotonicity,[status(thm)],[47,613]) ).

tff(615,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(transitivity,[status(thm)],[614,611,609,19,10]) ).

tff(616,plain,
    ( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
  <=> ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(617,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

tff(618,plain,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    inference(modus_ponens,[status(thm)],[617,616]) ).

tff(619,plain,
    $false,
    inference(unit_resolution,[status(thm)],[618,615]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 31 17:02:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 0.19/0.53  % SZS status Unsatisfiable
% 0.19/0.53  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------