Z3---4.15.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GRP452-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n006.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 : Sat Jun 21 05:07:47 AM UTC 2025

% Result   : Unsatisfiable 0.71s 0.87s
% Output   : Proof 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   72
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  432 ( 374 unt;   0 typ;   0 def)
%            Number of atoms       :  496 ( 492 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  116 (  55   ~;  51   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   22 (   3 avg)
%            Number of FOOLs       :    3 (   3 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   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   :  207 ( 199   !;   0   ?; 207   :)

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

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

tff(b2_type,type,
    b2: $i ).

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

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

tff(1,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(2,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)],[1]) ).

tff(3,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(4,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(5,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)],[4,3]) ).

tff(6,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)],[5]) ).

tff(7,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)],[6,2]) ).

tff(8,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = a2 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(9,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = a2,
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(11,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(unit_resolution,[status(thm)],[10,7]) ).

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 )
    | ( divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = inverse(b2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(13,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = inverse(b2),
    inference(unit_resolution,[status(thm)],[12,7]) ).

tff(14,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(15,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)],[14]) ).

tff(16,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(17,axiom,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

tff(18,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(modus_ponens,[status(thm)],[17,16]) ).

tff(19,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(skolemize,[status(sab)],[18]) ).

tff(20,plain,
    ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
    inference(modus_ponens,[status(thm)],[19,15]) ).

tff(21,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(22,plain,
    inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[21,20]) ).

tff(23,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(24,plain,
    inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[23,20]) ).

tff(25,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[24]) ).

tff(26,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[25,22]) ).

tff(27,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[26]) ).

tff(28,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = inverse(b2),
    inference(transitivity,[status(thm)],[27,13]) ).

tff(29,plain,
    divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = divide(inverse(b2),inverse(b2)),
    inference(monotonicity,[status(thm)],[28]) ).

tff(30,plain,
    divide(inverse(b2),inverse(b2)) = divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))),
    inference(symmetry,[status(thm)],[29]) ).

tff(31,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(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(inverse(b2),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(32,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(inverse(b2),inverse(b2)),
    inference(unit_resolution,[status(thm)],[31,7]) ).

tff(33,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[28]) ).

tff(34,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))),
    inference(transitivity,[status(thm)],[33,32,30]) ).

tff(35,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(monotonicity,[status(thm)],[34]) ).

tff(36,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[35]) ).

tff(37,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[36]) ).

tff(38,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[37]) ).

tff(39,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = inverse(b2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(40,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = inverse(b2),
    inference(unit_resolution,[status(thm)],[39,7]) ).

tff(41,plain,
    inverse(b2) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[40]) ).

tff(42,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(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = multiply(inverse(b2),b2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(43,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = multiply(inverse(b2),b2),
    inference(unit_resolution,[status(thm)],[42,7]) ).

tff(44,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[38]) ).

tff(45,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[11]) ).

tff(46,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(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(47,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(unit_resolution,[status(thm)],[46,7]) ).

tff(48,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(49,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),
    inference(unit_resolution,[status(thm)],[48,7]) ).

tff(50,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[28]) ).

tff(51,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[50,47]) ).

tff(52,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[51]) ).

tff(53,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(symmetry,[status(thm)],[52]) ).

tff(54,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[53]) ).

tff(55,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(symmetry,[status(thm)],[54]) ).

tff(56,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[55]) ).

tff(57,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[56]) ).

tff(58,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),multiply(inverse(b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(59,plain,
    inverse(multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),multiply(inverse(b2),b2)),
    inference(unit_resolution,[status(thm)],[58,20]) ).

tff(60,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(multiply(inverse(b2),b2)) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(61,plain,
    inverse(multiply(inverse(b2),b2)) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),
    inference(unit_resolution,[status(thm)],[60,20]) ).

tff(62,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)) = inverse(multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[61]) ).

tff(63,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),
    inference(transitivity,[status(thm)],[62,59,57,49]) ).

tff(64,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[63]) ).

tff(65,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[64,47]) ).

tff(66,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[65]) ).

tff(67,plain,
    divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(monotonicity,[status(thm)],[66]) ).

tff(68,plain,
    divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))),
    inference(symmetry,[status(thm)],[67]) ).

tff(69,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(monotonicity,[status(thm)],[68]) ).

tff(70,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = inverse(b2),
    inference(transitivity,[status(thm)],[69,45,44,40]) ).

tff(71,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[70]) ).

tff(72,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[71,43]) ).

tff(73,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[26,72]) ).

tff(74,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(transitivity,[status(thm)],[73,13,41,38,11]) ).

tff(75,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(76,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))),
    inference(symmetry,[status(thm)],[75]) ).

tff(77,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(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(78,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),
    inference(unit_resolution,[status(thm)],[77,7]) ).

tff(79,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))),
    inference(symmetry,[status(thm)],[66]) ).

tff(80,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(81,plain,
    inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[80,20]) ).

tff(82,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[81]) ).

tff(83,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[65]) ).

tff(84,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))),
    inference(transitivity,[status(thm)],[83,82,22,79]) ).

tff(85,plain,
    divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))),
    inference(monotonicity,[status(thm)],[84]) ).

tff(86,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(monotonicity,[status(thm)],[85]) ).

tff(87,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[86]) ).

tff(88,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[87]) ).

tff(89,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[65]) ).

tff(90,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))),
    inference(transitivity,[status(thm)],[89,25,22,79]) ).

tff(91,plain,
    divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))),
    inference(monotonicity,[status(thm)],[90]) ).

tff(92,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(monotonicity,[status(thm)],[91]) ).

tff(93,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[92]) ).

tff(94,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(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(95,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[94,7]) ).

tff(96,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[95]) ).

tff(97,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),
    inference(transitivity,[status(thm)],[96,93,88,78]) ).

tff(98,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(monotonicity,[status(thm)],[97,68]) ).

tff(99,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[98]) ).

tff(100,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(101,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)],[100]) ).

tff(102,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(103,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(104,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(modus_ponens,[status(thm)],[103,102]) ).

tff(105,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(skolemize,[status(sab)],[104]) ).

tff(106,plain,
    ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
    inference(modus_ponens,[status(thm)],[105,101]) ).

tff(107,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(a2,a2),a2),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(108,plain,
    multiply(divide(divide(a2,a2),a2),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),
    inference(unit_resolution,[status(thm)],[107,106]) ).

tff(109,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(a2,a2),a2),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(110,plain,
    multiply(divide(divide(a2,a2),a2),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),
    inference(unit_resolution,[status(thm)],[109,106]) ).

tff(111,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = multiply(divide(divide(a2,a2),a2),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))),
    inference(symmetry,[status(thm)],[110]) ).

tff(112,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))),
    inference(transitivity,[status(thm)],[111,108,99,76]) ).

tff(113,plain,
    divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[78]) ).

tff(114,plain,
    inverse(b2) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(transitivity,[status(thm)],[41,38,11]) ).

tff(115,plain,
    multiply(inverse(b2),b2) = multiply(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),b2),
    inference(monotonicity,[status(thm)],[114]) ).

tff(116,plain,
    multiply(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),b2) = multiply(inverse(b2),b2),
    inference(symmetry,[status(thm)],[115]) ).

tff(117,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),b2) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(b2,b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(118,plain,
    multiply(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),b2) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(b2,b2),b2)),
    inference(unit_resolution,[status(thm)],[117,106]) ).

tff(119,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(b2,b2),b2)) = multiply(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),b2),
    inference(symmetry,[status(thm)],[118]) ).

tff(120,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(b2) = divide(divide(b2,b2),b2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(121,plain,
    inverse(b2) = divide(divide(b2,b2),b2),
    inference(unit_resolution,[status(thm)],[120,20]) ).

tff(122,plain,
    divide(divide(b2,b2),b2) = inverse(b2),
    inference(symmetry,[status(thm)],[121]) ).

tff(123,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = inverse(b2),
    inference(transitivity,[status(thm)],[45,44,40]) ).

tff(124,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(b2,b2),b2)) = divide(inverse(b2),inverse(b2)),
    inference(monotonicity,[status(thm)],[123,122]) ).

tff(125,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(b2,b2),b2)),
    inference(symmetry,[status(thm)],[124]) ).

tff(126,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[52,96,93,32,125,119,116]) ).

tff(127,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[96,93,32,125,119,116]) ).

tff(128,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[127,126]) ).

tff(129,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(130,plain,
    inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(unit_resolution,[status(thm)],[129,20]) ).

tff(131,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[93]) ).

tff(132,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[32]) ).

tff(133,plain,
    multiply(inverse(b2),b2) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[115,118,124,132,131,95]) ).

tff(134,plain,
    inverse(multiply(inverse(b2),b2)) = inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(monotonicity,[status(thm)],[133]) ).

tff(135,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),multiply(inverse(b2),b2)) = inverse(multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[59]) ).

tff(136,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[49]) ).

tff(137,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[136,56,135,134,130,54,128,113,87,32]) ).

tff(138,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[137]) ).

tff(139,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(b2)) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[138]) ).

tff(140,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(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(141,plain,
    divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(unit_resolution,[status(thm)],[140,7]) ).

tff(142,plain,
    divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(143,plain,
    divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))),
    inference(transitivity,[status(thm)],[142,141,30]) ).

tff(144,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(monotonicity,[status(thm)],[143]) ).

tff(145,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[144]) ).

tff(146,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[145,72]) ).

tff(147,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(148,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(unit_resolution,[status(thm)],[147,7]) ).

tff(149,plain,
    divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[148]) ).

tff(150,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(monotonicity,[status(thm)],[123,123]) ).

tff(151,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[150]) ).

tff(152,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(symmetry,[status(thm)],[151]) ).

tff(153,plain,
    divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(a2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[152]) ).

tff(154,plain,
    divide(a2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(symmetry,[status(thm)],[153]) ).

tff(155,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(transitivity,[status(thm)],[111,108,99]) ).

tff(156,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[132,131,95]) ).

tff(157,plain,
    inverse(divide(inverse(b2),inverse(b2))) = inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(monotonicity,[status(thm)],[156]) ).

tff(158,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(159,plain,
    inverse(divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),
    inference(unit_resolution,[status(thm)],[158,20]) ).

tff(160,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = inverse(divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[159]) ).

tff(161,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[160,157,130,54,128,113,87,32]) ).

tff(162,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[161,155]) ).

tff(163,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(transitivity,[status(thm)],[162,152]) ).

tff(164,plain,
    divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(a2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[163]) ).

tff(165,plain,
    divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(transitivity,[status(thm)],[164,154]) ).

tff(166,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(a2,a2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(167,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(a2,a2),
    inference(unit_resolution,[status(thm)],[166,7]) ).

tff(168,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[132,131,95,53]) ).

tff(169,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(multiply(inverse(b2),b2)) = divide(divide(a2,a2),multiply(inverse(b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(170,plain,
    inverse(multiply(inverse(b2),b2)) = divide(divide(a2,a2),multiply(inverse(b2),b2)),
    inference(unit_resolution,[status(thm)],[169,20]) ).

tff(171,plain,
    divide(divide(a2,a2),multiply(inverse(b2),b2)) = inverse(multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[170]) ).

tff(172,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[156,168]) ).

tff(173,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[172]) ).

tff(174,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),
    inference(transitivity,[status(thm)],[160,157,130,54,173]) ).

tff(175,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),
    inference(monotonicity,[status(thm)],[174]) ).

tff(176,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[175,160,157,130,54,128,113,87,32,125,119,116]) ).

tff(177,plain,
    divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(a2,a2),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[176]) ).

tff(178,plain,
    divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[177,171,134,130,54,128,113,87,131,95,53]) ).

tff(179,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[156,178]) ).

tff(180,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[179,128,113,87,131,95,53]) ).

tff(181,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[172,128,113,87,131,95]) ).

tff(182,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[181,180]) ).

tff(183,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[182,128,113,87,131,95]) ).

tff(184,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[183,168]) ).

tff(185,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(a2,a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[184]) ).

tff(186,plain,
    divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[128]) ).

tff(187,plain,
    divide(inverse(b2),inverse(b2)) = divide(a2,a2),
    inference(transitivity,[status(thm)],[132,88,78,186,185,167]) ).

tff(188,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(a2,a2),divide(a2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[187,165]) ).

tff(189,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = inverse(b2),
    inference(transitivity,[status(thm)],[188,149,146,40]) ).

tff(190,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[172,128,113,87,32]) ).

tff(191,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[190,189]) ).

tff(192,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[191,139,47]) ).

tff(193,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))),
    inference(monotonicity,[status(thm)],[192,112]) ).

tff(194,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[193]) ).

tff(195,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(196,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[195,7]) ).

tff(197,plain,
    divide(inverse(b2),inverse(b2)) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[125,119,116]) ).

tff(198,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(inverse(b2)) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(199,plain,
    inverse(inverse(b2)) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(unit_resolution,[status(thm)],[198,20]) ).

tff(200,plain,
    inverse(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = inverse(inverse(b2)),
    inference(monotonicity,[status(thm)],[123]) ).

tff(201,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(202,plain,
    inverse(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(unit_resolution,[status(thm)],[201,20]) ).

tff(203,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = inverse(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(symmetry,[status(thm)],[202]) ).

tff(204,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[174]) ).

tff(205,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[204,203,200,199,139,47]) ).

tff(206,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[205]) ).

tff(207,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(symmetry,[status(thm)],[204]) ).

tff(208,plain,
    inverse(inverse(b2)) = inverse(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(symmetry,[status(thm)],[200]) ).

tff(209,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(b2)) = inverse(inverse(b2)),
    inference(symmetry,[status(thm)],[199]) ).

tff(210,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[176]) ).

tff(211,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = inverse(b2),
    inference(transitivity,[status(thm)],[210,13]) ).

tff(212,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[211]) ).

tff(213,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(transitivity,[status(thm)],[212,209,208,202,207]) ).

tff(214,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[190,213]) ).

tff(215,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[214,206]) ).

tff(216,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[215,197]) ).

tff(217,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[216]) ).

tff(218,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(b2)) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(transitivity,[status(thm)],[209,208,202,207]) ).

tff(219,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(b2)) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[139,47]) ).

tff(220,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[219,219]) ).

tff(221,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[220,96,93,32]) ).

tff(222,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[221,218]) ).

tff(223,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[222,206]) ).

tff(224,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[223,197]) ).

tff(225,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[224,217,196]) ).

tff(226,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),
    inference(symmetry,[status(thm)],[71]) ).

tff(227,plain,
    multiply(inverse(b2),b2) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[43]) ).

tff(228,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),
    inference(transitivity,[status(thm)],[175,160,157,130,54,128,113,87,32,125,119,116,227,226]) ).

tff(229,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(monotonicity,[status(thm)],[228]) ).

tff(230,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(symmetry,[status(thm)],[229]) ).

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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(a2,a2),a2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(232,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(a2,a2),a2),
    inference(unit_resolution,[status(thm)],[231,7]) ).

tff(233,plain,
    divide(divide(a2,a2),a2) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[232]) ).

tff(234,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(a2,a2),a2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(235,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(a2,a2),a2),
    inference(unit_resolution,[status(thm)],[234,7]) ).

tff(236,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[150]) ).

tff(237,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(symmetry,[status(thm)],[236]) ).

tff(238,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[150]) ).

tff(239,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(symmetry,[status(thm)],[238]) ).

tff(240,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[239]) ).

tff(241,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(symmetry,[status(thm)],[240]) ).

tff(242,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(243,plain,
    multiply(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(unit_resolution,[status(thm)],[242,106]) ).

tff(244,plain,
    divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(symmetry,[status(thm)],[47]) ).

tff(245,plain,
    divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(transitivity,[status(thm)],[244,138,209,208,202,207]) ).

tff(246,plain,
    multiply(inverse(b2),b2) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[115,118,124]) ).

tff(247,plain,
    multiply(multiply(inverse(b2),b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = multiply(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[246,245]) ).

tff(248,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(multiply(inverse(b2),b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(249,plain,
    multiply(multiply(inverse(b2),b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(unit_resolution,[status(thm)],[248,106]) ).

tff(250,plain,
    divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = multiply(multiply(inverse(b2),b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[249]) ).

tff(251,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[160,157,130,54,128,113,87,32,125,119,116]) ).

tff(252,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))),
    inference(monotonicity,[status(thm)],[251,79]) ).

tff(253,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(transitivity,[status(thm)],[252,67,250,247,243,241,237]) ).

tff(254,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[253]) ).

tff(255,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[254,235,233,230]) ).

tff(256,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[255]) ).

tff(257,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[256]) ).

tff(258,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[257]) ).

tff(259,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(monotonicity,[status(thm)],[258,225]) ).

tff(260,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(symmetry,[status(thm)],[259]) ).

tff(261,plain,
    inverse(b2) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[13]) ).

tff(262,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[45,44,40,261,217,196]) ).

tff(263,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(264,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),
    inference(unit_resolution,[status(thm)],[263,7]) ).

tff(265,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(a2,a2),a2),
    inference(transitivity,[status(thm)],[229,232]) ).

tff(266,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(symmetry,[status(thm)],[150]) ).

tff(267,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),
    inference(monotonicity,[status(thm)],[266,265]) ).

tff(268,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(symmetry,[status(thm)],[267]) ).

tff(269,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),
    inference(transitivity,[status(thm)],[132,88,78,186,173]) ).

tff(270,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[269,268]) ).

tff(271,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a2) = divide(divide(a2,a2),a2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(272,plain,
    inverse(a2) = divide(divide(a2,a2),a2),
    inference(unit_resolution,[status(thm)],[271,20]) ).

tff(273,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(a2) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),a2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(274,plain,
    inverse(a2) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),a2),
    inference(unit_resolution,[status(thm)],[273,20]) ).

tff(275,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),a2) = inverse(a2),
    inference(symmetry,[status(thm)],[274]) ).

tff(276,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = a2,
    inference(transitivity,[status(thm)],[194,9]) ).

tff(277,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),a2),
    inference(monotonicity,[status(thm)],[97,276]) ).

tff(278,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(279,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(unit_resolution,[status(thm)],[278,7]) ).

tff(280,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[175,160,157,130,54,128,113,87,32]) ).

tff(281,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(monotonicity,[status(thm)],[280]) ).

tff(282,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[281,279,277,275,272,233,230]) ).

tff(283,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[282]) ).

tff(284,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),
    inference(transitivity,[status(thm)],[283,267]) ).

tff(285,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2))),
    inference(monotonicity,[status(thm)],[190,284]) ).

tff(286,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),
    inference(transitivity,[status(thm)],[285,270]) ).

tff(287,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(monotonicity,[status(thm)],[286]) ).

tff(288,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[287]) ).

tff(289,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[279]) ).

tff(290,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),a2) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(symmetry,[status(thm)],[277]) ).

tff(291,plain,
    divide(divide(a2,a2),a2) = inverse(a2),
    inference(symmetry,[status(thm)],[272]) ).

tff(292,plain,
    divide(divide(a2,a2),a2) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(transitivity,[status(thm)],[291,274,290,289,288,264,258]) ).

tff(293,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(monotonicity,[status(thm)],[292,262]) ).

tff(294,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[75,293,260]) ).

tff(295,plain,
    divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(transitivity,[status(thm)],[244,138]) ).

tff(296,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[295,294]) ).

tff(297,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))),
    inference(symmetry,[status(thm)],[296]) ).

tff(298,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(299,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(unit_resolution,[status(thm)],[298,7]) ).

tff(300,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(301,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))),
    inference(transitivity,[status(thm)],[300,299,30]) ).

tff(302,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(monotonicity,[status(thm)],[301]) ).

tff(303,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[302]) ).

tff(304,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[303,72]) ).

tff(305,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(306,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(unit_resolution,[status(thm)],[305,7]) ).

tff(307,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[306]) ).

tff(308,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),
    inference(transitivity,[status(thm)],[54,173]) ).

tff(309,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[308,236]) ).

tff(310,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(transitivity,[status(thm)],[160,157,130]) ).

tff(311,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[310]) ).

tff(312,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(transitivity,[status(thm)],[311,309,307,304,38,11]) ).

tff(313,plain,
    divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))) = divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[312]) ).

tff(314,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[313]) ).

tff(315,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(transitivity,[status(thm)],[314,152]) ).

tff(316,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[315]) ).

tff(317,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(318,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),
    inference(unit_resolution,[status(thm)],[317,7]) ).

tff(319,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(transitivity,[status(thm)],[259,318,316]) ).

tff(320,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(inverse(b2),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(321,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(inverse(b2),inverse(b2)),
    inference(unit_resolution,[status(thm)],[320,7]) ).

tff(322,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))),
    inference(symmetry,[status(thm)],[318]) ).

tff(323,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),
    inference(symmetry,[status(thm)],[316]) ).

tff(324,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[323,322,260]) ).

tff(325,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[150,123]) ).

tff(326,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[325,324]) ).

tff(327,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))),
    inference(transitivity,[status(thm)],[326,297]) ).

tff(328,plain,
    divide(divide(a2,a2),a2) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[233,230]) ).

tff(329,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[161,328]) ).

tff(330,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),
    inference(transitivity,[status(thm)],[329,267]) ).

tff(331,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2))),
    inference(monotonicity,[status(thm)],[330]) ).

tff(332,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2))),
    inference(symmetry,[status(thm)],[331]) ).

tff(333,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[160,157,130,54,128,113,87,131,95]) ).

tff(334,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(monotonicity,[status(thm)],[333]) ).

tff(335,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[334,277,275,272,233,230]) ).

tff(336,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[335]) ).

tff(337,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),
    inference(transitivity,[status(thm)],[336,267]) ).

tff(338,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2))),
    inference(monotonicity,[status(thm)],[337]) ).

tff(339,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2))),
    inference(transitivity,[status(thm)],[338,332]) ).

tff(340,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)))),
    inference(monotonicity,[status(thm)],[190,339]) ).

tff(341,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))),
    inference(symmetry,[status(thm)],[340]) ).

tff(342,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[264]) ).

tff(343,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[331,270,342,287,279,277,275,272,233,230]) ).

tff(344,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[343]) ).

tff(345,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(a2,a2),a2)))),
    inference(symmetry,[status(thm)],[344]) ).

tff(346,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))),
    inference(transitivity,[status(thm)],[268,345,341]) ).

tff(347,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(monotonicity,[status(thm)],[346,327]) ).

tff(348,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[347,321,125,119,116]) ).

tff(349,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(350,plain,
    inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[349,20]) ).

tff(351,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(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = b2 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(352,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = b2,
    inference(unit_resolution,[status(thm)],[351,7]) ).

tff(353,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(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(354,plain,
    divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(unit_resolution,[status(thm)],[353,7]) ).

tff(355,plain,
    divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(monotonicity,[status(thm)],[74]) ).

tff(356,plain,
    divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))) = divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))),
    inference(transitivity,[status(thm)],[355,354,30]) ).

tff(357,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(monotonicity,[status(thm)],[356]) ).

tff(358,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[357]) ).

tff(359,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[358,72]) ).

tff(360,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(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(361,plain,
    divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(unit_resolution,[status(thm)],[360,7]) ).

tff(362,plain,
    divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[361]) ).

tff(363,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(monotonicity,[status(thm)],[150]) ).

tff(364,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(symmetry,[status(thm)],[363]) ).

tff(365,plain,
    divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(b2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[364]) ).

tff(366,plain,
    divide(b2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(symmetry,[status(thm)],[365]) ).

tff(367,plain,
    divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(monotonicity,[status(thm)],[122,123]) ).

tff(368,plain,
    divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[367,132,131,95,53]) ).

tff(369,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[156,368]) ).

tff(370,plain,
    divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(symmetry,[status(thm)],[369]) ).

tff(371,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))),
    inference(transitivity,[status(thm)],[175,160,157,130,54,370,364]) ).

tff(372,plain,
    divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(b2,divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(monotonicity,[status(thm)],[371]) ).

tff(373,plain,
    divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))) = divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))),
    inference(transitivity,[status(thm)],[372,366]) ).

tff(374,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(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(b2,b2) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(375,plain,
    divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(b2,b2),
    inference(unit_resolution,[status(thm)],[374,7]) ).

tff(376,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(b2,b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(377,plain,
    inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = divide(divide(b2,b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(unit_resolution,[status(thm)],[376,20]) ).

tff(378,plain,
    divide(divide(b2,b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))) = inverse(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[377]) ).

tff(379,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(multiply(inverse(b2),b2)) = divide(divide(inverse(b2),inverse(b2)),multiply(inverse(b2),b2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(380,plain,
    inverse(multiply(inverse(b2),b2)) = divide(divide(inverse(b2),inverse(b2)),multiply(inverse(b2),b2)),
    inference(unit_resolution,[status(thm)],[379,20]) ).

tff(381,plain,
    divide(divide(inverse(b2),inverse(b2)),multiply(inverse(b2),b2)) = inverse(multiply(inverse(b2),b2)),
    inference(symmetry,[status(thm)],[380]) ).

tff(382,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[72,72]) ).

tff(383,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(inverse(b2),inverse(b2)),
    inference(transitivity,[status(thm)],[382,113,87,32]) ).

tff(384,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(inverse(b2),inverse(b2)),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[383,72]) ).

tff(385,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),
    inference(transitivity,[status(thm)],[384,381,59,57,49]) ).

tff(386,plain,
    divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),inverse(b2)),
    inference(monotonicity,[status(thm)],[385,123]) ).

tff(387,plain,
    divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),
    inference(transitivity,[status(thm)],[386,47]) ).

tff(388,plain,
    divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(b2,b2),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),
    inference(monotonicity,[status(thm)],[387]) ).

tff(389,plain,
    divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))),
    inference(transitivity,[status(thm)],[388,378,22,79]) ).

tff(390,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))),
    inference(monotonicity,[status(thm)],[72,389]) ).

tff(391,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),
    inference(monotonicity,[status(thm)],[382,390]) ).

tff(392,plain,
    divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = inverse(b2),
    inference(transitivity,[status(thm)],[391,45,44,40]) ).

tff(393,plain,
    divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))) = divide(inverse(b2),inverse(b2)),
    inference(monotonicity,[status(thm)],[392,123]) ).

tff(394,plain,
    divide(inverse(b2),inverse(b2)) = divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(b2,b2),divide(divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),
    inference(symmetry,[status(thm)],[393]) ).

tff(395,plain,
    divide(inverse(b2),inverse(b2)) = divide(b2,b2),
    inference(transitivity,[status(thm)],[394,375]) ).

tff(396,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(b2,b2),divide(b2,divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(b2,b2),b2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[395,373]) ).

tff(397,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))) = inverse(b2),
    inference(transitivity,[status(thm)],[396,362,359,40]) ).

tff(398,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[190,397]) ).

tff(399,plain,
    divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))) = divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[398,197]) ).

tff(400,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)) = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(b2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(inverse(b2),inverse(b2))),
    inference(symmetry,[status(thm)],[399]) ).

tff(401,plain,
    divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
    inference(transitivity,[status(thm)],[29,125,119,116]) ).

tff(402,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[295,401]) ).

tff(403,plain,
    divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = b2,
    inference(transitivity,[status(thm)],[402,400,352]) ).

tff(404,plain,
    inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))) = inverse(b2),
    inference(monotonicity,[status(thm)],[403]) ).

tff(405,plain,
    inverse(b2) = inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(symmetry,[status(thm)],[404]) ).

tff(406,plain,
    divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),
    inference(transitivity,[status(thm)],[45,44,40,405,350]) ).

tff(407,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)),
    inference(monotonicity,[status(thm)],[406,348]) ).

tff(408,plain,
    divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))))) = inverse(b2),
    inference(transitivity,[status(thm)],[407,40]) ).

tff(409,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))) = divide(divide(inverse(b2),inverse(b2)),inverse(b2)),
    inference(monotonicity,[status(thm)],[150,408]) ).

tff(410,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(b2)) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),
    inference(symmetry,[status(thm)],[409]) ).

tff(411,plain,
    divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))))) = divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(monotonicity,[status(thm)],[410,319]) ).

tff(412,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))))),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(symmetry,[status(thm)],[411]) ).

tff(413,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(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(414,plain,
    divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),
    inference(unit_resolution,[status(thm)],[413,7]) ).

tff(415,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)) = divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(a2,a2),a2)),divide(divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(divide(a2,a2),a2),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))))))),
    inference(symmetry,[status(thm)],[414]) ).

tff(416,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(417,plain,
    inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(unit_resolution,[status(thm)],[416,20]) ).

tff(418,plain,
    ( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
    | ( inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(419,plain,
    inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(unit_resolution,[status(thm)],[418,20]) ).

tff(420,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = inverse(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(symmetry,[status(thm)],[419]) ).

tff(421,plain,
    divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2)))),
    inference(transitivity,[status(thm)],[420,417,277,275,272,233,230]) ).

tff(422,plain,
    divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))))),
    inference(monotonicity,[status(thm)],[421]) ).

tff(423,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
    | ( multiply(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(424,plain,
    multiply(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))) = divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),inverse(b2)))))),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))))),
    inference(unit_resolution,[status(thm)],[423,106]) ).

tff(425,plain,
    a2 = divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(divide(inverse(b2),inverse(b2)),divide(a2,divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),inverse(b2))),divide(inverse(b2),inverse(b2))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))),
    inference(symmetry,[status(thm)],[9]) ).

tff(426,plain,
    a2 = divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))))))))),
    inference(transitivity,[status(thm)],[425,193]) ).

tff(427,plain,
    multiply(multiply(inverse(b2),b2),a2) = multiply(divide(inverse(b2),inverse(b2)),divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(divide(divide(a2,a2),a2),divide(divide(divide(divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2))))),divide(divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(multiply(inverse(b2),b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),inverse(b2))))),divide(divide(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),divide(inverse(b2),divide(inverse(b2),divide(divide(divide(inverse(b2),inverse(b2)),inverse(b2)),multiply(inverse(b2),b2)))))))))))),
    inference(monotonicity,[status(thm)],[246,426]) ).

tff(428,plain,
    multiply(multiply(inverse(b2),b2),a2) = a2,
    inference(transitivity,[status(thm)],[427,424,422,267,415,412,297,194,9]) ).

tff(429,plain,
    ( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
  <=> ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(430,axiom,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

tff(431,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(modus_ponens,[status(thm)],[430,429]) ).

tff(432,plain,
    $false,
    inference(unit_resolution,[status(thm)],[431,428]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP452-1 : TPTP v9.0.0. Released v2.6.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n006.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   : Thu Jun 19 16:06:50 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.71/0.87  % SZS status Unsatisfiable
% 0.71/0.87  % SZS output start Proof
% See solution above
% 0.92/1.13  % E exiting
%------------------------------------------------------------------------------