Z3---4.15.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GRP459-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n013.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 05:07:48 AM UTC 2025

% Result   : Unsatisfiable 2.55s 2.81s
% Output   : Proof 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   96
% Syntax   : Number of formulae    :  685 ( 593 unt;   0 typ;   0 def)
%            Number of atoms       :  783 ( 779 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  184 (  89   ~;  85   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   24 (   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  275 ( 269   !;   0   ?; 275   :)

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

tff(c3_type,type,
    c3: $i ).

tff(b3_type,type,
    b3: $i ).

tff(a3_type,type,
    a3: $i ).

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

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

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

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

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

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

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

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

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

tff(8,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(a3,multiply(b3,c3)) = divide(a3,divide(identity,multiply(b3,c3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(9,plain,
    multiply(a3,multiply(b3,c3)) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(unit_resolution,[status(thm)],[8,7]) ).

tff(10,plain,
    divide(a3,divide(identity,multiply(b3,c3))) = multiply(a3,multiply(b3,c3)),
    inference(symmetry,[status(thm)],[9]) ).

tff(11,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(b3,c3) = divide(b3,divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(12,plain,
    multiply(b3,c3) = divide(b3,divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[11,7]) ).

tff(13,plain,
    divide(identity,multiply(b3,c3)) = divide(identity,divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[12]) ).

tff(14,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(( ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
      <=> ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ) )),
    inference(bind,[status(th)],[]) ).

tff(15,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ) ),
    inference(quant_intro,[status(thm)],[14]) ).

tff(16,plain,
    ( ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
  <=> ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ) ),
    inference(rewrite,[status(thm)],[]) ).

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

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

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

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

tff(21,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = b3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(22,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = b3,
    inference(unit_resolution,[status(thm)],[21,20]) ).

tff(23,plain,
    ^ [A: $i] :
      refl(( ( identity = divide(A,A) )
      <=> ( identity = divide(A,A) ) )),
    inference(bind,[status(th)],[]) ).

tff(24,plain,
    ( ! [A: $i] : ( identity = divide(A,A) )
  <=> ! [A: $i] : ( identity = divide(A,A) ) ),
    inference(quant_intro,[status(thm)],[23]) ).

tff(25,plain,
    ( ! [A: $i] : ( identity = divide(A,A) )
  <=> ! [A: $i] : ( identity = divide(A,A) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(26,axiom,
    ! [A: $i] : ( identity = divide(A,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

tff(27,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(modus_ponens,[status(thm)],[26,25]) ).

tff(28,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(skolemize,[status(sab)],[27]) ).

tff(29,plain,
    ! [A: $i] : ( identity = divide(A,A) ),
    inference(modus_ponens,[status(thm)],[28,24]) ).

tff(30,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(b3,b3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(31,plain,
    identity = divide(b3,b3),
    inference(unit_resolution,[status(thm)],[30,29]) ).

tff(32,plain,
    divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[31]) ).

tff(33,plain,
    divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[32]) ).

tff(34,plain,
    divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = b3,
    inference(transitivity,[status(thm)],[33,22]) ).

tff(35,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(monotonicity,[status(thm)],[34]) ).

tff(36,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))),
    inference(symmetry,[status(thm)],[35]) ).

tff(37,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = a3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(38,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = a3,
    inference(unit_resolution,[status(thm)],[37,20]) ).

tff(39,plain,
    a3 = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(symmetry,[status(thm)],[38]) ).

tff(40,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = a3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(41,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = a3,
    inference(unit_resolution,[status(thm)],[40,20]) ).

tff(42,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(43,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[42,20]) ).

tff(44,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(45,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3,
    inference(unit_resolution,[status(thm)],[44,20]) ).

tff(46,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(47,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[46,20]) ).

tff(48,plain,
    divide(b3,divide(identity,c3)) = multiply(b3,c3),
    inference(symmetry,[status(thm)],[12]) ).

tff(49,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(50,plain,
    identity = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(unit_resolution,[status(thm)],[49,29]) ).

tff(51,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = identity,
    inference(symmetry,[status(thm)],[50]) ).

tff(52,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(53,plain,
    identity = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[52,29]) ).

tff(54,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(c3,c3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(55,plain,
    identity = divide(c3,c3),
    inference(unit_resolution,[status(thm)],[54,29]) ).

tff(56,plain,
    divide(c3,c3) = identity,
    inference(symmetry,[status(thm)],[55]) ).

tff(57,plain,
    divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,c3),
    inference(monotonicity,[status(thm)],[45]) ).

tff(58,plain,
    divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[57,56,53]) ).

tff(59,plain,
    divide(c3,c3) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[56,53]) ).

tff(60,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[59,58]) ).

tff(61,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = identity,
    inference(transitivity,[status(thm)],[60,51]) ).

tff(62,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(monotonicity,[status(thm)],[61,48]) ).

tff(63,plain,
    divide(identity,multiply(b3,c3)) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(symmetry,[status(thm)],[62]) ).

tff(64,plain,
    divide(identity,divide(b3,divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(symmetry,[status(thm)],[13]) ).

tff(65,plain,
    divide(identity,divide(b3,divide(identity,c3))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[64,63,47]) ).

tff(66,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[65]) ).

tff(67,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3,
    inference(transitivity,[status(thm)],[66,45]) ).

tff(68,plain,
    divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,c3),
    inference(monotonicity,[status(thm)],[67]) ).

tff(69,plain,
    divide(c3,c3) = divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(symmetry,[status(thm)],[68]) ).

tff(70,plain,
    divide(c3,c3) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(symmetry,[status(thm)],[57]) ).

tff(71,plain,
    divide(divide(identity,b3),divide(identity,b3)) = identity,
    inference(symmetry,[status(thm)],[53]) ).

tff(72,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[71,55,70]) ).

tff(73,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[55,72]) ).

tff(74,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(c3,c3),
    inference(transitivity,[status(thm)],[73,60,51,55]) ).

tff(75,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[74,72]) ).

tff(76,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[75,60,51,55,69]) ).

tff(77,plain,
    divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[76]) ).

tff(78,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(79,plain,
    identity = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),
    inference(unit_resolution,[status(thm)],[78,29]) ).

tff(80,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[71,79]) ).

tff(81,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[80,77]) ).

tff(82,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[81]) ).

tff(83,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(84,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3,
    inference(unit_resolution,[status(thm)],[83,20]) ).

tff(85,plain,
    divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,c3),
    inference(monotonicity,[status(thm)],[84]) ).

tff(86,plain,
    divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[85,70]) ).

tff(87,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[86]) ).

tff(88,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = identity,
    inference(transitivity,[status(thm)],[87,60,51]) ).

tff(89,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(monotonicity,[status(thm)],[88,48]) ).

tff(90,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(91,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[90,20]) ).

tff(92,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(symmetry,[status(thm)],[91]) ).

tff(93,plain,
    divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[79]) ).

tff(94,plain,
    divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[93]) ).

tff(95,plain,
    divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = c3,
    inference(transitivity,[status(thm)],[94,45]) ).

tff(96,plain,
    divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,c3),
    inference(monotonicity,[status(thm)],[95]) ).

tff(97,plain,
    divide(c3,c3) = divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(symmetry,[status(thm)],[96]) ).

tff(98,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[75,60,51,55,97]) ).

tff(99,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[98]) ).

tff(100,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(101,plain,
    identity = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[100,29]) ).

tff(102,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[71,101]) ).

tff(103,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[102,99]) ).

tff(104,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[103,92,89,63,47,82]) ).

tff(105,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[104]) ).

tff(106,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[105]) ).

tff(107,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[106]) ).

tff(108,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(109,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[108,20]) ).

tff(110,plain,
    divide(b3,divide(identity,c3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[109]) ).

tff(111,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(b3,divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(112,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(b3,divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[111,20]) ).

tff(113,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[71,55,69]) ).

tff(114,plain,
    divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[113]) ).

tff(115,plain,
    divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[114]) ).

tff(116,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[107,43,115]) ).

tff(117,plain,
    divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[116]) ).

tff(118,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[117]) ).

tff(119,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(b3,b3),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[118]) ).

tff(120,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(121,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[120,20]) ).

tff(122,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[121]) ).

tff(123,plain,
    divide(identity,divide(b3,divide(identity,c3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[64,63,47,82]) ).

tff(124,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[73,60]) ).

tff(125,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[124,123]) ).

tff(126,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[125,122,119,112,110,107,43]) ).

tff(127,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(c3,c3),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(identity,divide(b3,divide(identity,c3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(128,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(identity,divide(b3,divide(identity,c3))),
    inference(unit_resolution,[status(thm)],[127,20]) ).

tff(129,plain,
    divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[55]) ).

tff(130,plain,
    divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[129]) ).

tff(131,plain,
    divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(identity,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[130,128,64]) ).

tff(132,plain,
    divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(monotonicity,[status(thm)],[131]) ).

tff(133,plain,
    divide(a3,divide(identity,multiply(b3,c3))) = divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[132]) ).

tff(134,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(symmetry,[status(thm)],[47]) ).

tff(135,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[73,60,51,79]) ).

tff(136,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[135]) ).

tff(137,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(identity,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[136,134,62]) ).

tff(138,plain,
    divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(monotonicity,[status(thm)],[137]) ).

tff(139,plain,
    divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))),
    inference(transitivity,[status(thm)],[138,133]) ).

tff(140,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) = divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[113,139]) ).

tff(141,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(142,plain,
    identity = divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[141,29]) ).

tff(143,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[51,142]) ).

tff(144,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))) = divide(divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[143,140]) ).

tff(145,plain,
    divide(divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(symmetry,[status(thm)],[144]) ).

tff(146,plain,
    divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = identity,
    inference(symmetry,[status(thm)],[142]) ).

tff(147,plain,
    divide(divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) = divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[146]) ).

tff(148,plain,
    divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) = divide(divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[147]) ).

tff(149,plain,
    divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(transitivity,[status(thm)],[148,145]) ).

tff(150,plain,
    divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[149,126]) ).

tff(151,plain,
    divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))),
    inference(transitivity,[status(thm)],[150,41,39,36]) ).

tff(152,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[71,50]) ).

tff(153,plain,
    divide(b3,divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[152]) ).

tff(154,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[75,60]) ).

tff(155,plain,
    divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[154]) ).

tff(156,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(b3,b3),
    inference(transitivity,[status(thm)],[71,31]) ).

tff(157,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[156,155]) ).

tff(158,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[157]) ).

tff(159,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(160,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[159,20]) ).

tff(161,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(162,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[161,20]) ).

tff(163,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = identity,
    inference(transitivity,[status(thm)],[73,60,51]) ).

tff(164,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[163]) ).

tff(165,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(166,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[165,162,71,55,70]) ).

tff(167,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(c3,c3),
    inference(transitivity,[status(thm)],[71,55]) ).

tff(168,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[167,166]) ).

tff(169,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[168,60,51,55,70]) ).

tff(170,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(c3,c3),
    inference(transitivity,[status(thm)],[51,55]) ).

tff(171,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[170,169]) ).

tff(172,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = identity,
    inference(transitivity,[status(thm)],[171,60,51]) ).

tff(173,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[172]) ).

tff(174,plain,
    divide(identity,b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(symmetry,[status(thm)],[173]) ).

tff(175,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(symmetry,[status(thm)],[160]) ).

tff(176,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(b3,b3),
    inference(transitivity,[status(thm)],[73,60,51,31]) ).

tff(177,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[176]) ).

tff(178,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(identity,b3),
    inference(transitivity,[status(thm)],[177,175,173]) ).

tff(179,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[178]) ).

tff(180,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = b3,
    inference(transitivity,[status(thm)],[179,22]) ).

tff(181,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[71,180]) ).

tff(182,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[181,174,160,158]) ).

tff(183,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[182]) ).

tff(184,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),
    inference(symmetry,[status(thm)],[183]) ).

tff(185,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(186,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[185,20]) ).

tff(187,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = b3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(188,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = b3,
    inference(unit_resolution,[status(thm)],[187,20]) ).

tff(189,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[75,60,51,53]) ).

tff(190,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[189]) ).

tff(191,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = b3,
    inference(transitivity,[status(thm)],[190,188]) ).

tff(192,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[71,191]) ).

tff(193,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[192,174,160,158]) ).

tff(194,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[193]) ).

tff(195,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[194]) ).

tff(196,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[195]) ).

tff(197,plain,
    b3 = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[188]) ).

tff(198,plain,
    b3 = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),
    inference(transitivity,[status(thm)],[197,196,186,184]) ).

tff(199,plain,
    divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[198,153]) ).

tff(200,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),
    inference(symmetry,[status(thm)],[199]) ).

tff(201,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(202,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[201,20]) ).

tff(203,plain,
    divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))))),divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[202]) ).

tff(204,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(205,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[204,20]) ).

tff(206,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[186]) ).

tff(207,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(208,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = b3,
    inference(transitivity,[status(thm)],[207,22]) ).

tff(209,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[71,208]) ).

tff(210,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[209,174,160,158]) ).

tff(211,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[210]) ).

tff(212,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = b3,
    inference(transitivity,[status(thm)],[211,206,195,188]) ).

tff(213,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(b3,b3),
    inference(monotonicity,[status(thm)],[212]) ).

tff(214,plain,
    divide(b3,b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(symmetry,[status(thm)],[213]) ).

tff(215,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[71,31,214,205,203,200]) ).

tff(216,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[215,151]) ).

tff(217,plain,
    divide(b3,b3) = identity,
    inference(symmetry,[status(thm)],[31]) ).

tff(218,plain,
    divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,b3),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(symmetry,[status(thm)],[205]) ).

tff(219,plain,
    divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[199,202,218,213,217,55,70]) ).

tff(220,plain,
    divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))) = divide(c3,c3),
    inference(transitivity,[status(thm)],[199,202,218,213,217,55]) ).

tff(221,plain,
    divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[220,219]) ).

tff(222,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[221]) ).

tff(223,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(symmetry,[status(thm)],[60]) ).

tff(224,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[223,222]) ).

tff(225,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[224,216]) ).

tff(226,plain,
    divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[225]) ).

tff(227,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(228,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[227,20]) ).

tff(229,plain,
    divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(a3,divide(identity,b3)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(230,plain,
    divide(a3,divide(identity,b3)) = divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(symmetry,[status(thm)],[229]) ).

tff(231,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[73,60,51,53]) ).

tff(232,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[231,230]) ).

tff(233,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(monotonicity,[status(thm)],[152,232]) ).

tff(234,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))),
    inference(symmetry,[status(thm)],[233]) ).

tff(235,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(236,plain,
    divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(unit_resolution,[status(thm)],[235,20]) ).

tff(237,plain,
    divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(238,plain,
    divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[237,236,234]) ).

tff(239,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[238]) ).

tff(240,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[239]) ).

tff(241,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(symmetry,[status(thm)],[240]) ).

tff(242,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[51,53]) ).

tff(243,plain,
    b3 = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[197,196,186]) ).

tff(244,plain,
    divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[243,242]) ).

tff(245,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(246,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[245,20]) ).

tff(247,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[246,71,50]) ).

tff(248,plain,
    divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[247]) ).

tff(249,plain,
    divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = b3,
    inference(transitivity,[status(thm)],[248,244,188]) ).

tff(250,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[217,249]) ).

tff(251,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(identity,b3),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[250]) ).

tff(252,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(253,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[252,20]) ).

tff(254,plain,
    divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[253]) ).

tff(255,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(256,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(unit_resolution,[status(thm)],[255,20]) ).

tff(257,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[53]) ).

tff(258,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[257]) ).

tff(259,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[258,256,234]) ).

tff(260,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[259]) ).

tff(261,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))),
    inference(symmetry,[status(thm)],[260]) ).

tff(262,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[231,234]) ).

tff(263,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[262,261]) ).

tff(264,plain,
    divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))) = divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[263]) ).

tff(265,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(266,plain,
    identity = divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[265,29]) ).

tff(267,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[71,266]) ).

tff(268,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))) = divide(divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[267,264]) ).

tff(269,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[268,254,251,71,55,70]) ).

tff(270,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[170,269]) ).

tff(271,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[270,60,51,53]) ).

tff(272,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[271,234]) ).

tff(273,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(274,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(unit_resolution,[status(thm)],[273,20]) ).

tff(275,plain,
    divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))),
    inference(symmetry,[status(thm)],[274]) ).

tff(276,plain,
    divide(identity,b3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[174,160,158]) ).

tff(277,plain,
    divide(identity,divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[50,276]) ).

tff(278,plain,
    divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[277]) ).

tff(279,plain,
    divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = b3,
    inference(transitivity,[status(thm)],[278,188]) ).

tff(280,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(monotonicity,[status(thm)],[279]) ).

tff(281,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(symmetry,[status(thm)],[280]) ).

tff(282,plain,
    a3 = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[39,281]) ).

tff(283,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(identity,b3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(284,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(identity,b3),
    inference(unit_resolution,[status(thm)],[283,20]) ).

tff(285,plain,
    divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,b3),
    inference(monotonicity,[status(thm)],[279]) ).

tff(286,plain,
    divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[285,217,53]) ).

tff(287,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = b3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(288,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = b3,
    inference(unit_resolution,[status(thm)],[287,20]) ).

tff(289,plain,
    divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,b3),
    inference(monotonicity,[status(thm)],[288]) ).

tff(290,plain,
    divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[289,217,55,70]) ).

tff(291,plain,
    divide(b3,b3) = divide(c3,c3),
    inference(transitivity,[status(thm)],[217,55]) ).

tff(292,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[291,290]) ).

tff(293,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),
    inference(transitivity,[status(thm)],[292,60]) ).

tff(294,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[293,276]) ).

tff(295,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(296,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[295,20]) ).

tff(297,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[296]) ).

tff(298,plain,
    divide(b3,b3) = divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(symmetry,[status(thm)],[285]) ).

tff(299,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[75,60,51,31,298]) ).

tff(300,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[299]) ).

tff(301,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[300]) ).

tff(302,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = b3,
    inference(transitivity,[status(thm)],[301,297,294,206,195,188]) ).

tff(303,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[51,302]) ).

tff(304,plain,
    divide(identity,b3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[303]) ).

tff(305,plain,
    divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[304,286]) ).

tff(306,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),b3) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(307,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),b3) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[306,20]) ).

tff(308,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),b3),
    inference(monotonicity,[status(thm)],[279]) ).

tff(309,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[308,307,71,31,298]) ).

tff(310,plain,
    divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[309]) ).

tff(311,plain,
    divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[310,305,284,174,160,158]) ).

tff(312,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[152,311]) ).

tff(313,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = b3,
    inference(transitivity,[status(thm)],[312,206,195,188]) ).

tff(314,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[313,152]) ).

tff(315,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(316,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),
    inference(unit_resolution,[status(thm)],[315,20]) ).

tff(317,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[316]) ).

tff(318,plain,
    divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(monotonicity,[status(thm)],[50]) ).

tff(319,plain,
    divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(monotonicity,[status(thm)],[318]) ).

tff(320,plain,
    divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))),
    inference(transitivity,[status(thm)],[319,36]) ).

tff(321,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)) = divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[215,320]) ).

tff(322,plain,
    divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)),
    inference(symmetry,[status(thm)],[321]) ).

tff(323,plain,
    a3 = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))),
    inference(transitivity,[status(thm)],[39,36]) ).

tff(324,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[73,60,51,31,214,205,203,200]) ).

tff(325,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3) = divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)))),
    inference(monotonicity,[status(thm)],[324,323]) ).

tff(326,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)),
    inference(transitivity,[status(thm)],[325,322]) ).

tff(327,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3))),
    inference(monotonicity,[status(thm)],[326]) ).

tff(328,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(329,plain,
    identity = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(unit_resolution,[status(thm)],[328,29]) ).

tff(330,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(transitivity,[status(thm)],[71,329]) ).

tff(331,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3)))),
    inference(monotonicity,[status(thm)],[330,327]) ).

tff(332,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3))) = b3,
    inference(transitivity,[status(thm)],[331,317,314,244,188]) ).

tff(333,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[51,332]) ).

tff(334,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)))),a3) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[333,282]) ).

tff(335,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)))),a3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(336,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)))),a3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(unit_resolution,[status(thm)],[335,20]) ).

tff(337,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),a3)))),a3),
    inference(symmetry,[status(thm)],[336]) ).

tff(338,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(transitivity,[status(thm)],[337,334,275,272]) ).

tff(339,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[338]) ).

tff(340,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(transitivity,[status(thm)],[339,241]) ).

tff(341,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3)))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(b3,divide(b3,divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),b3),
    inference(monotonicity,[status(thm)],[340]) ).

tff(342,plain,
    a3 = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[39,341,228,226]) ).

tff(343,plain,
    divide(a3,divide(identity,multiply(b3,c3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[342,13]) ).

tff(344,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))) = divide(a3,divide(identity,multiply(b3,c3))),
    inference(symmetry,[status(thm)],[343]) ).

tff(345,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))) = divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(346,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))) = divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[345,20]) ).

tff(347,plain,
    divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[346]) ).

tff(348,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(349,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[348,20]) ).

tff(350,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[107]) ).

tff(351,plain,
    divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[43]) ).

tff(352,plain,
    divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(b3,divide(identity,c3)),
    inference(transitivity,[status(thm)],[351,350,109]) ).

tff(353,plain,
    divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(identity,c3),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[352]) ).

tff(354,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[353]) ).

tff(355,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[354]) ).

tff(356,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(357,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(unit_resolution,[status(thm)],[356,20]) ).

tff(358,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[357]) ).

tff(359,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(360,plain,
    divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(unit_resolution,[status(thm)],[359,20]) ).

tff(361,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(362,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[361,20]) ).

tff(363,plain,
    divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[53]) ).

tff(364,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[363]) ).

tff(365,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[364,362]) ).

tff(366,plain,
    divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))) = divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[365]) ).

tff(367,plain,
    divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[366,360,358,355]) ).

tff(368,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))) = c3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(369,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))) = c3,
    inference(unit_resolution,[status(thm)],[368,20]) ).

tff(370,plain,
    divide(identity,divide(identity,b3)) = b3,
    inference(transitivity,[status(thm)],[277,206,195,188]) ).

tff(371,plain,
    divide(divide(identity,divide(identity,b3)),divide(identity,c3)) = divide(b3,divide(identity,c3)),
    inference(monotonicity,[status(thm)],[370]) ).

tff(372,plain,
    divide(divide(identity,divide(identity,b3)),divide(identity,c3)) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[371,110,107,43]) ).

tff(373,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[80,372]) ).

tff(374,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))) = divide(identity,divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[373,134,62,13]) ).

tff(375,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(identity,b3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(376,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(identity,b3),
    inference(unit_resolution,[status(thm)],[375,20]) ).

tff(377,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(378,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[377,20]) ).

tff(379,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[353]) ).

tff(380,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[379,378,122,119,112,110,107,43]) ).

tff(381,plain,
    divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[164]) ).

tff(382,plain,
    divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(symmetry,[status(thm)],[381]) ).

tff(383,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)) = divide(identity,c3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(384,plain,
    divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)) = divide(identity,c3),
    inference(unit_resolution,[status(thm)],[383,20]) ).

tff(385,plain,
    divide(identity,c3) = divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(identity,b3)),
    inference(symmetry,[status(thm)],[384]) ).

tff(386,plain,
    divide(identity,divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[50,123]) ).

tff(387,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[386]) ).

tff(388,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))) = divide(b3,divide(identity,c3)),
    inference(transitivity,[status(thm)],[387,109]) ).

tff(389,plain,
    divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(identity,c3),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[388]) ).

tff(390,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[389]) ).

tff(391,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))) = c3,
    inference(transitivity,[status(thm)],[390,66,45]) ).

tff(392,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(393,plain,
    identity = divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),
    inference(unit_resolution,[status(thm)],[392,29]) ).

tff(394,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))) = identity,
    inference(symmetry,[status(thm)],[393]) ).

tff(395,plain,
    divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[394,391]) ).

tff(396,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(397,plain,
    divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[396,20]) ).

tff(398,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = b3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(399,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = b3,
    inference(unit_resolution,[status(thm)],[398,20]) ).

tff(400,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[163]) ).

tff(401,plain,
    divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)) = divide(b3,divide(identity,c3)),
    inference(monotonicity,[status(thm)],[400]) ).

tff(402,plain,
    divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)) = multiply(b3,c3),
    inference(transitivity,[status(thm)],[401,48]) ).

tff(403,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) = divide(identity,multiply(b3,c3)),
    inference(monotonicity,[status(thm)],[71,402]) ).

tff(404,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[403,63,47,82]) ).

tff(405,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[404]) ).

tff(406,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(symmetry,[status(thm)],[405]) ).

tff(407,plain,
    divide(identity,divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(transitivity,[status(thm)],[386,406]) ).

tff(408,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[407]) ).

tff(409,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3) = b3,
    inference(transitivity,[status(thm)],[408,399]) ).

tff(410,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3)) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[71,409]) ).

tff(411,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(identity,c3) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(412,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(identity,c3),
    inference(unit_resolution,[status(thm)],[411,20]) ).

tff(413,plain,
    divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(b3,divide(identity,c3)),
    inference(monotonicity,[status(thm)],[412]) ).

tff(414,plain,
    divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[413,110,107,43]) ).

tff(415,plain,
    divide(b3,b3) = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[217,79]) ).

tff(416,plain,
    divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[415,414]) ).

tff(417,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[416]) ).

tff(418,plain,
    divide(identity,divide(b3,divide(identity,c3))) = divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[64,63,47,417]) ).

tff(419,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3))) = divide(divide(divide(b3,b3),divide(b3,divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3)),
    inference(monotonicity,[status(thm)],[418,410]) ).

tff(420,plain,
    divide(identity,b3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3)),
    inference(symmetry,[status(thm)],[410]) ).

tff(421,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = identity,
    inference(symmetry,[status(thm)],[101]) ).

tff(422,plain,
    divide(identity,divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[386,122,119,112,110,107,43]) ).

tff(423,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[422]) ).

tff(424,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[423,421,31,298]) ).

tff(425,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(identity,b3),divide(b3,divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[424]) ).

tff(426,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3)),
    inference(transitivity,[status(thm)],[425,305,284,420]) ).

tff(427,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),c3))),
    inference(monotonicity,[status(thm)],[426]) ).

tff(428,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) = divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(transitivity,[status(thm)],[427,419,397,395,385,382]) ).

tff(429,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[394,53]) ).

tff(430,plain,
    divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[429,428]) ).

tff(431,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(symmetry,[status(thm)],[430]) ).

tff(432,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(433,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[432,20]) ).

tff(434,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[433]) ).

tff(435,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(transitivity,[status(thm)],[75,60,51,53,434]) ).

tff(436,plain,
    divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(monotonicity,[status(thm)],[435]) ).

tff(437,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[167,436]) ).

tff(438,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[437]) ).

tff(439,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(440,plain,
    divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[439,20]) ).

tff(441,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(442,plain,
    identity = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))),
    inference(unit_resolution,[status(thm)],[441,29]) ).

tff(443,plain,
    divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) = identity,
    inference(symmetry,[status(thm)],[442]) ).

tff(444,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(445,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[444,20]) ).

tff(446,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(447,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(unit_resolution,[status(thm)],[446,20]) ).

tff(448,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[71,95]) ).

tff(449,plain,
    divide(identity,c3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(symmetry,[status(thm)],[448]) ).

tff(450,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[400,449]) ).

tff(451,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[450]) ).

tff(452,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[102,451]) ).

tff(453,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),
    inference(symmetry,[status(thm)],[452]) ).

tff(454,plain,
    divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(monotonicity,[status(thm)],[50,453]) ).

tff(455,plain,
    divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[454]) ).

tff(456,plain,
    divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3) = divide(b3,divide(identity,c3)),
    inference(transitivity,[status(thm)],[455,447,351,350,109]) ).

tff(457,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[456]) ).

tff(458,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[457,445]) ).

tff(459,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(monotonicity,[status(thm)],[458]) ).

tff(460,plain,
    divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[459]) ).

tff(461,plain,
    divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) = identity,
    inference(transitivity,[status(thm)],[460,443]) ).

tff(462,plain,
    divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[461]) ).

tff(463,plain,
    divide(identity,c3) = divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3),
    inference(symmetry,[status(thm)],[462]) ).

tff(464,plain,
    divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[381,384,463,440,438]) ).

tff(465,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[152,464]) ).

tff(466,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(symmetry,[status(thm)],[465]) ).

tff(467,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(468,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[467,20]) ).

tff(469,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = c3 ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(470,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = c3,
    inference(unit_resolution,[status(thm)],[469,20]) ).

tff(471,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[189]) ).

tff(472,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = c3,
    inference(transitivity,[status(thm)],[471,470]) ).

tff(473,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[71,472]) ).

tff(474,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(transitivity,[status(thm)],[473,385,382]) ).

tff(475,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3)))),divide(divide(identity,c3),divide(divide(identity,divide(b3,divide(divide(b3,divide(identity,c3)),divide(divide(identity,b3),divide(identity,b3))))),divide(identity,b3))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[242,474]) ).

tff(476,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[475,465]) ).

tff(477,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[476]) ).

tff(478,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[477]) ).

tff(479,plain,
    c3 = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[470]) ).

tff(480,plain,
    c3 = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(transitivity,[status(thm)],[479,478,468,466,431]) ).

tff(481,plain,
    divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))) = divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,b3),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[480,380]) ).

tff(482,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(symmetry,[status(thm)],[379]) ).

tff(483,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[378]) ).

tff(484,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[125,483,482]) ).

tff(485,plain,
    divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))) = divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(b3,divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[484]) ).

tff(486,plain,
    divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[485,481,376,174,160,158]) ).

tff(487,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(b3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[152,486]) ).

tff(488,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3)))))) = b3,
    inference(transitivity,[status(thm)],[487,206,195,188]) ).

tff(489,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))) = divide(identity,b3),
    inference(monotonicity,[status(thm)],[51,488]) ).

tff(490,plain,
    divide(identity,b3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[489]) ).

tff(491,plain,
    divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(identity,divide(b3,divide(identity,c3))))))),divide(identity,divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[490,374]) ).

tff(492,plain,
    divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))) = c3,
    inference(transitivity,[status(thm)],[491,369]) ).

tff(493,plain,
    divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)))) = divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))))),
    inference(monotonicity,[status(thm)],[492,367]) ).

tff(494,plain,
    divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))) = divide(c3,c3),
    inference(monotonicity,[status(thm)],[492,492]) ).

tff(495,plain,
    divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(monotonicity,[status(thm)],[494,493]) ).

tff(496,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))) = divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),
    inference(symmetry,[status(thm)],[495]) ).

tff(497,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(498,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),
    inference(unit_resolution,[status(thm)],[497,20]) ).

tff(499,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[189]) ).

tff(500,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[499,256,234]) ).

tff(501,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[500]) ).

tff(502,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[501]) ).

tff(503,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[502]) ).

tff(504,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(505,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[504,20]) ).

tff(506,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(507,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[506,20]) ).

tff(508,plain,
    divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(monotonicity,[status(thm)],[50]) ).

tff(509,plain,
    divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[508]) ).

tff(510,plain,
    divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(a3,divide(identity,b3)),
    inference(transitivity,[status(thm)],[509,507]) ).

tff(511,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(monotonicity,[status(thm)],[510]) ).

tff(512,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)),
    inference(symmetry,[status(thm)],[511]) ).

tff(513,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(514,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[513,20]) ).

tff(515,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(symmetry,[status(thm)],[514]) ).

tff(516,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(517,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[516,20]) ).

tff(518,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)) = divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(monotonicity,[status(thm)],[510]) ).

tff(519,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)),
    inference(transitivity,[status(thm)],[518,517,515,512]) ).

tff(520,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))),
    inference(monotonicity,[status(thm)],[519]) ).

tff(521,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(monotonicity,[status(thm)],[520]) ).

tff(522,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3),
    inference(monotonicity,[status(thm)],[521]) ).

tff(523,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(524,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[523,20]) ).

tff(525,plain,
    divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))) = divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3),
    inference(symmetry,[status(thm)],[524]) ).

tff(526,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[95]) ).

tff(527,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(symmetry,[status(thm)],[526]) ).

tff(528,plain,
    divide(a3,divide(identity,b3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(symmetry,[status(thm)],[507]) ).

tff(529,plain,
    divide(a3,divide(identity,b3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[528,527]) ).

tff(530,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3))) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[422,529]) ).

tff(531,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[102,530]) ).

tff(532,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))),
    inference(symmetry,[status(thm)],[531]) ).

tff(533,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(534,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(unit_resolution,[status(thm)],[533,20]) ).

tff(535,plain,
    divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[387,107,43]) ).

tff(536,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[535]) ).

tff(537,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))),
    inference(transitivity,[status(thm)],[536,534,532]) ).

tff(538,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[537]) ).

tff(539,plain,
    divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[538]) ).

tff(540,plain,
    divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[539,525,522,505,503]) ).

tff(541,plain,
    divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[540]) ).

tff(542,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,divide(b3,divide(identity,c3))),divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[541]) ).

tff(543,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(544,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[543,20]) ).

tff(545,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(symmetry,[status(thm)],[544]) ).

tff(546,plain,
    divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[149,372]) ).

tff(547,plain,
    divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[546,41,39,281]) ).

tff(548,plain,
    divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))) = divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[547]) ).

tff(549,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),divide(divide(identity,divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[548]) ).

tff(550,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))) = divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),
    inference(transitivity,[status(thm)],[549,545,542,498,496]) ).

tff(551,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[550]) ).

tff(552,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(divide(identity,divide(divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),divide(a3,divide(divide(identity,divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3)),
    inference(symmetry,[status(thm)],[551]) ).

tff(553,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(554,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),divide(identity,c3)) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(unit_resolution,[status(thm)],[553,20]) ).

tff(555,plain,
    divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))) = divide(divide(divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3)))),divide(divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,divide(divide(identity,b3),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(identity,b3)),divide(identity,c3))))),divide(identity,c3))))),divide(identity,c3)),
    inference(symmetry,[status(thm)],[554]) ).

tff(556,plain,
    divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[50,438]) ).

tff(557,plain,
    divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(c3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(identity,b3),divide(identity,b3)))))),divide(divide(identity,b3),divide(identity,b3))),
    inference(monotonicity,[status(thm)],[556]) ).

tff(558,plain,
    divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3))) = c3,
    inference(transitivity,[status(thm)],[557,470]) ).

tff(559,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[558]) ).

tff(560,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))) = divide(a3,divide(identity,b3)),
    inference(transitivity,[status(thm)],[559,507]) ).

tff(561,plain,
    divide(identity,c3) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[463,440]) ).

tff(562,plain,
    divide(divide(identity,c3),divide(b3,divide(identity,c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[561]) ).

tff(563,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(identity,c3),divide(b3,divide(identity,c3))),
    inference(symmetry,[status(thm)],[562]) ).

tff(564,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))),
    inference(monotonicity,[status(thm)],[388]) ).

tff(565,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))) = divide(divide(identity,c3),divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[564,563]) ).

tff(566,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(monotonicity,[status(thm)],[565]) ).

tff(567,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(b3,divide(identity,c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))),
    inference(symmetry,[status(thm)],[564]) ).

tff(568,plain,
    divide(divide(identity,c3),divide(b3,divide(identity,c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3)))),
    inference(transitivity,[status(thm)],[562,567]) ).

tff(569,plain,
    divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[96,69]) ).

tff(570,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[352,569]) ).

tff(571,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(572,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[571,20]) ).

tff(573,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),c3),
    inference(monotonicity,[status(thm)],[95]) ).

tff(574,plain,
    divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[573,572,71,55,97]) ).

tff(575,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[574]) ).

tff(576,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[575,570]) ).

tff(577,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[421,79]) ).

tff(578,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[577,576]) ).

tff(579,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(identity,divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[578,134,62,13]) ).

tff(580,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[579,568]) ).

tff(581,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(582,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(unit_resolution,[status(thm)],[581,20]) ).

tff(583,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[582]) ).

tff(584,plain,
    divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3) = divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(transitivity,[status(thm)],[509,507,230]) ).

tff(585,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[584]) ).

tff(586,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)),
    inference(symmetry,[status(thm)],[585]) ).

tff(587,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)),
    inference(transitivity,[status(thm)],[232,586]) ).

tff(588,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))),
    inference(monotonicity,[status(thm)],[587]) ).

tff(589,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(590,plain,
    identity = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(unit_resolution,[status(thm)],[589,29]) ).

tff(591,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(transitivity,[status(thm)],[71,590]) ).

tff(592,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(monotonicity,[status(thm)],[591,588]) ).

tff(593,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))) = c3,
    inference(transitivity,[status(thm)],[592,583,580,566,66,45]) ).

tff(594,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) = divide(identity,c3),
    inference(monotonicity,[status(thm)],[51,593]) ).

tff(595,plain,
    divide(identity,c3) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(symmetry,[status(thm)],[594]) ).

tff(596,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3),
    inference(symmetry,[status(thm)],[440]) ).

tff(597,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),
    inference(transitivity,[status(thm)],[596,462,595]) ).

tff(598,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(monotonicity,[status(thm)],[597,560]) ).

tff(599,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(symmetry,[status(thm)],[598]) ).

tff(600,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(601,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),
    inference(unit_resolution,[status(thm)],[600,20]) ).

tff(602,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(symmetry,[status(thm)],[601]) ).

tff(603,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(transitivity,[status(thm)],[602,599]) ).

tff(604,plain,
    divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(identity,c3),
    inference(transitivity,[status(thm)],[596,462]) ).

tff(605,plain,
    divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(identity,c3),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[604,604]) ).

tff(606,plain,
    divide(divide(identity,c3),divide(identity,c3)) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(symmetry,[status(thm)],[605]) ).

tff(607,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(identity,c3),divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(608,plain,
    identity = divide(divide(identity,c3),divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[607,29]) ).

tff(609,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(transitivity,[status(thm)],[51,608,606]) ).

tff(610,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) = divide(divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,b3),divide(identity,b3)))))),
    inference(monotonicity,[status(thm)],[609,603]) ).

tff(611,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(612,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(unit_resolution,[status(thm)],[611,20]) ).

tff(613,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(transitivity,[status(thm)],[73,60,51,590]) ).

tff(614,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(monotonicity,[status(thm)],[613]) ).

tff(615,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = c3,
    inference(transitivity,[status(thm)],[614,583,580,566,66,45]) ).

tff(616,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3),
    inference(monotonicity,[status(thm)],[615]) ).

tff(617,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))) = divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)),
    inference(transitivity,[status(thm)],[616,507,230]) ).

tff(618,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[617]) ).

tff(619,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(monotonicity,[status(thm)],[618]) ).

tff(620,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),
    inference(symmetry,[status(thm)],[619]) ).

tff(621,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) = identity,
    inference(symmetry,[status(thm)],[590]) ).

tff(622,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(623,plain,
    divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),
    inference(unit_resolution,[status(thm)],[622,20]) ).

tff(624,plain,
    divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))) = divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(monotonicity,[status(thm)],[232]) ).

tff(625,plain,
    divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[624,623,621,55,70]) ).

tff(626,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[167,625]) ).

tff(627,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3))))) = divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[626,60,51,55,70]) ).

tff(628,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) = divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[170,627]) ).

tff(629,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))) = divide(divide(identity,b3),divide(identity,b3)),
    inference(transitivity,[status(thm)],[628,60,51,53]) ).

tff(630,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(monotonicity,[status(thm)],[629,230]) ).

tff(631,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(632,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))) = divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),
    inference(unit_resolution,[status(thm)],[631,20]) ).

tff(633,plain,
    divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(a3,divide(identity,b3)))))),divide(a3,divide(identity,b3))),
    inference(symmetry,[status(thm)],[632]) ).

tff(634,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(a3,b3) = divide(a3,divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(635,plain,
    multiply(a3,b3) = divide(a3,divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[634,7]) ).

tff(636,plain,
    divide(a3,divide(identity,b3)) = multiply(a3,b3),
    inference(symmetry,[status(thm)],[635]) ).

tff(637,plain,
    divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(monotonicity,[status(thm)],[636,400]) ).

tff(638,plain,
    divide(multiply(a3,b3),divide(identity,c3)) = divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)),
    inference(symmetry,[status(thm)],[637]) ).

tff(639,plain,
    divide(identity,divide(multiply(a3,b3),divide(identity,c3))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),
    inference(monotonicity,[status(thm)],[53,638]) ).

tff(640,plain,
    divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))),
    inference(monotonicity,[status(thm)],[639,586]) ).

tff(641,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(monotonicity,[status(thm)],[640]) ).

tff(642,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))),
    inference(symmetry,[status(thm)],[641]) ).

tff(643,plain,
    divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[580]) ).

tff(644,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3) = divide(divide(identity,b3),divide(identity,b3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(645,plain,
    divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3) = divide(divide(identity,b3),divide(identity,b3)),
    inference(unit_resolution,[status(thm)],[644,20]) ).

tff(646,plain,
    divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),c3),
    inference(monotonicity,[status(thm)],[95]) ).

tff(647,plain,
    divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))) = divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))),
    inference(transitivity,[status(thm)],[646,645,71,55,97]) ).

tff(648,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(c3,divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(monotonicity,[status(thm)],[647]) ).

tff(649,plain,
    divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))) = divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),
    inference(transitivity,[status(thm)],[648,570]) ).

tff(650,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(divide(divide(b3,divide(identity,c3)),divide(b3,divide(identity,c3))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),
    inference(monotonicity,[status(thm)],[577,649]) ).

tff(651,plain,
    divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))) = divide(identity,divide(b3,divide(identity,c3))),
    inference(transitivity,[status(thm)],[650,134,62,13]) ).

tff(652,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(divide(c3,c3),divide(c3,divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(identity,divide(identity,divide(b3,divide(identity,c3)))),divide(divide(identity,b3),divide(identity,b3))))),
    inference(monotonicity,[status(thm)],[651,568]) ).

tff(653,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(654,plain,
    divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))) = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),
    inference(unit_resolution,[status(thm)],[653,20]) ).

tff(655,plain,
    divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))),
    inference(symmetry,[status(thm)],[654]) ).

tff(656,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(657,plain,
    identity = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(unit_resolution,[status(thm)],[656,29]) ).

tff(658,plain,
    divide(identity,divide(divide(identity,b3),divide(identity,b3))) = divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),
    inference(transitivity,[status(thm)],[73,60,51,657]) ).

tff(659,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) = divide(divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))),
    inference(monotonicity,[status(thm)],[658]) ).

tff(660,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))),
    inference(transitivity,[status(thm)],[659,655,652,643,582,642]) ).

tff(661,plain,
    divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3))))) = divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))),
    inference(monotonicity,[status(thm)],[660]) ).

tff(662,plain,
    ( ~ ! [A: $i] : ( identity = divide(A,A) )
    | ( identity = divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(663,plain,
    identity = divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),
    inference(unit_resolution,[status(thm)],[662,29]) ).

tff(664,plain,
    divide(divide(identity,b3),divide(identity,b3)) = divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),
    inference(transitivity,[status(thm)],[71,663]) ).

tff(665,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))))) = divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),
    inference(monotonicity,[status(thm)],[664,661]) ).

tff(666,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))),
    inference(transitivity,[status(thm)],[665,633,630]) ).

tff(667,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))),
    inference(monotonicity,[status(thm)],[666]) ).

tff(668,plain,
    divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))))),
    inference(symmetry,[status(thm)],[665]) ).

tff(669,plain,
    divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))),
    inference(transitivity,[status(thm)],[614,642]) ).

tff(670,plain,
    divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))) = divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3)))))),
    inference(monotonicity,[status(thm)],[669]) ).

tff(671,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))))) = divide(divide(divide(multiply(a3,b3),divide(identity,c3)),divide(multiply(a3,b3),divide(identity,c3))),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(multiply(a3,b3),divide(identity,c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(a3,divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),b3))))))),
    inference(monotonicity,[status(thm)],[664,670]) ).

tff(672,plain,
    divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))))) = divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3)))))),
    inference(transitivity,[status(thm)],[671,668]) ).

tff(673,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(b3,divide(identity,c3)),divide(c3,divide(divide(identity,divide(b3,divide(identity,c3))),divide(divide(identity,c3),divide(b3,divide(identity,c3))))))),divide(divide(identity,c3),divide(b3,divide(identity,c3)))))))),c3))))))),
    inference(monotonicity,[status(thm)],[672]) ).

tff(674,plain,
    divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))) = divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),
    inference(transitivity,[status(thm)],[673,667,620]) ).

tff(675,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(monotonicity,[status(thm)],[674]) ).

tff(676,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B )
    | ( divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(multiply(a3,b3),divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(677,plain,
    divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[676,20]) ).

tff(678,plain,
    divide(multiply(a3,b3),divide(identity,c3)) = divide(divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(multiply(a3,b3),divide(identity,c3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3))))))),divide(divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3))),divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(identity,divide(divide(divide(identity,b3),divide(identity,b3)),divide(divide(a3,divide(identity,b3)),divide(divide(identity,divide(divide(identity,b3),divide(identity,b3))),c3)))),c3)))),
    inference(symmetry,[status(thm)],[677]) ).

tff(679,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = divide(A,divide(identity,B)) )
    | ( multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(identity,c3)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(680,plain,
    multiply(multiply(a3,b3),c3) = divide(multiply(a3,b3),divide(identity,c3)),
    inference(unit_resolution,[status(thm)],[679,7]) ).

tff(681,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[680,678,675,612,610,555,552,349,347,344,10]) ).

tff(682,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
  <=> ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(683,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

tff(684,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(modus_ponens,[status(thm)],[683,682]) ).

tff(685,plain,
    $false,
    inference(unit_resolution,[status(thm)],[684,681]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP459-1 : TPTP v9.0.0. Released v2.6.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n013.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 16:07:53 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 2.55/2.81  % SZS status Unsatisfiable
% 2.55/2.81  % SZS output start Proof
% See solution above
% 3.05/3.21  % E exiting
%------------------------------------------------------------------------------